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Finding the Fourth Proportional to 429,963.92, 644,943.84 and 110,115.16

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Solution

The fourth proportional to 429,963.92, 644,943.84 and 110,115.16 is: 165,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,963.92 : 644,943.84 = 110,115.16 : x
  2. Step 2: Convert to fraction form
    429,963.92/644,943.84 = 110,115.16/x
  3. Step 3: Cross multiply
    429,963.92x = 644,943.84 × 110,115.16
  4. Step 4: Simplify right side
    429,963.92x = 71,018,094,132.61
  5. Step 5: Solve for x
    x = 71,018,094,132.61/429,963.92
  6. Step 6: Final answer
    x = 165,172.22

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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.