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Finding the Fourth Proportional to 486,002.90, 729,004.35 and 307,543.70

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Solution

The fourth proportional to 486,002.90, 729,004.35 and 307,543.70 is: 461,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,002.90 : 729,004.35 = 307,543.70 : x
  2. Step 2: Convert to fraction form
    486,002.90/729,004.35 = 307,543.70/x
  3. Step 3: Cross multiply
    486,002.90x = 729,004.35 × 307,543.70
  4. Step 4: Simplify right side
    486,002.90x = 224,200,695,115.10
  5. Step 5: Solve for x
    x = 224,200,695,115.10/486,002.90
  6. Step 6: Final answer
    x = 461,315.55

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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.