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Finding the Fourth Proportional to 457,264.48, 686,947.92 and 322,638.40

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Solution

The fourth proportional to 457,264.48, 686,947.92 and 322,638.40 is: 484,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,264.48 : 686,947.92 = 322,638.40 : x
  2. Step 2: Convert to fraction form
    457,264.48/686,947.92 = 322,638.40/x
  3. Step 3: Cross multiply
    457,264.48x = 686,947.92 × 322,638.40
  4. Step 4: Simplify right side
    457,264.48x = 221,635,777,792.13
  5. Step 5: Solve for x
    x = 221,635,777,792.13/457,264.48
  6. Step 6: Final answer
    x = 484,699.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.