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Finding the Fourth Proportional to 468,354.27, 646,344.54 and 287,031.17

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Solution

The fourth proportional to 468,354.27, 646,344.54 and 287,031.17 is: 396,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,354.27 : 646,344.54 = 287,031.17 : x
  2. Step 2: Convert to fraction form
    468,354.27/646,344.54 = 287,031.17/x
  3. Step 3: Cross multiply
    468,354.27x = 646,344.54 × 287,031.17
  4. Step 4: Simplify right side
    468,354.27x = 185,521,031,155.17
  5. Step 5: Solve for x
    x = 185,521,031,155.17/468,354.27
  6. Step 6: Final answer
    x = 396,112.61

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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.