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Finding the Fourth Proportional to 468,456.72, 646,327.08 and 287,102.16

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Solution

The fourth proportional to 468,456.72, 646,327.08 and 287,102.16 is: 396,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,456.72 : 646,327.08 = 287,102.16 : x
  2. Step 2: Convert to fraction form
    468,456.72/646,327.08 = 287,102.16/x
  3. Step 3: Cross multiply
    468,456.72x = 646,327.08 × 287,102.16
  4. Step 4: Simplify right side
    468,456.72x = 185,561,900,734.49
  5. Step 5: Solve for x
    x = 185,561,900,734.49/468,456.72
  6. Step 6: Final answer
    x = 396,113.22

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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.