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Finding the Fourth Proportional to 468,347.75, 646,335.55 and 287,024.64

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Solution

The fourth proportional to 468,347.75, 646,335.55 and 287,024.64 is: 396,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,347.75 : 646,335.55 = 287,024.64 : x
  2. Step 2: Convert to fraction form
    468,347.75/646,335.55 = 287,024.64/x
  3. Step 3: Cross multiply
    468,347.75x = 646,335.55 × 287,024.64
  4. Step 4: Simplify right side
    468,347.75x = 185,514,228,310.79
  5. Step 5: Solve for x
    x = 185,514,228,310.79/468,347.75
  6. Step 6: Final answer
    x = 396,103.60

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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.