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Finding the Fourth Proportional to 468,347.72, 646,335.50 and 287,024.61

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Solution

The fourth proportional to 468,347.72, 646,335.50 and 287,024.61 is: 396,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,347.72 : 646,335.50 = 287,024.61 : x
  2. Step 2: Convert to fraction form
    468,347.72/646,335.50 = 287,024.61/x
  3. Step 3: Cross multiply
    468,347.72x = 646,335.50 × 287,024.61
  4. Step 4: Simplify right side
    468,347.72x = 185,514,193,381.53
  5. Step 5: Solve for x
    x = 185,514,193,381.53/468,347.72
  6. Step 6: Final answer
    x = 396,103.55

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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.