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Finding the Fourth Proportional to 487,127.70, 731,920.35 and 309,719.70

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Solution

The fourth proportional to 487,127.70, 731,920.35 and 309,719.70 is: 465,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,127.70 : 731,920.35 = 309,719.70 : x
  2. Step 2: Convert to fraction form
    487,127.70/731,920.35 = 309,719.70/x
  3. Step 3: Cross multiply
    487,127.70x = 731,920.35 × 309,719.70
  4. Step 4: Simplify right side
    487,127.70x = 226,690,151,225.90
  5. Step 5: Solve for x
    x = 226,690,151,225.90/487,127.70
  6. Step 6: Final answer
    x = 465,360.83

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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.