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Finding the Fourth Proportional to 515,468.58, 709,730.01 and 468,229.38

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Solution

The fourth proportional to 515,468.58, 709,730.01 and 468,229.38 is: 644,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,468.58 : 709,730.01 = 468,229.38 : x
  2. Step 2: Convert to fraction form
    515,468.58/709,730.01 = 468,229.38/x
  3. Step 3: Cross multiply
    515,468.58x = 709,730.01 × 468,229.38
  4. Step 4: Simplify right side
    515,468.58x = 332,316,442,549.69
  5. Step 5: Solve for x
    x = 332,316,442,549.69/515,468.58
  6. Step 6: Final answer
    x = 644,688.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.