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Finding the Fourth Proportional to 647,487.70, 971,231.55 and 423,538.90

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Solution

The fourth proportional to 647,487.70, 971,231.55 and 423,538.90 is: 635,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,487.70 : 971,231.55 = 423,538.90 : x
  2. Step 2: Convert to fraction form
    647,487.70/971,231.55 = 423,538.90/x
  3. Step 3: Cross multiply
    647,487.70x = 971,231.55 × 423,538.90
  4. Step 4: Simplify right side
    647,487.70x = 411,354,342,332.30
  5. Step 5: Solve for x
    x = 411,354,342,332.30/647,487.70
  6. Step 6: Final answer
    x = 635,308.35

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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.