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Finding the Fourth Proportional to 523,053.80, 784,580.70 and 149,028.20

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Solution

The fourth proportional to 523,053.80, 784,580.70 and 149,028.20 is: 223,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,053.80 : 784,580.70 = 149,028.20 : x
  2. Step 2: Convert to fraction form
    523,053.80/784,580.70 = 149,028.20/x
  3. Step 3: Cross multiply
    523,053.80x = 784,580.70 × 149,028.20
  4. Step 4: Simplify right side
    523,053.80x = 116,924,649,475.74
  5. Step 5: Solve for x
    x = 116,924,649,475.74/523,053.80
  6. Step 6: Final answer
    x = 223,542.30

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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.