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Finding the Fourth Proportional to 523,148.25, 784,729.80 and 149,171.25

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Solution

The fourth proportional to 523,148.25, 784,729.80 and 149,171.25 is: 223,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,148.25 : 784,729.80 = 149,171.25 : x
  2. Step 2: Convert to fraction form
    523,148.25/784,729.80 = 149,171.25/x
  3. Step 3: Cross multiply
    523,148.25x = 784,729.80 × 149,171.25
  4. Step 4: Simplify right side
    523,148.25x = 117,059,125,178.25
  5. Step 5: Solve for x
    x = 117,059,125,178.25/523,148.25
  6. Step 6: Final answer
    x = 223,758.99

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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.