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Finding the Fourth Proportional to 523,057.72, 784,586.58 and 149,071

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Solution

The fourth proportional to 523,057.72, 784,586.58 and 149,071 is: 223,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,057.72 : 784,586.58 = 149,071 : x
  2. Step 2: Convert to fraction form
    523,057.72/784,586.58 = 149,071/x
  3. Step 3: Cross multiply
    523,057.72x = 784,586.58 × 149,071
  4. Step 4: Simplify right side
    523,057.72x = 116,959,106,067.18
  5. Step 5: Solve for x
    x = 116,959,106,067.18/523,057.72
  6. Step 6: Final answer
    x = 223,606.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.