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Finding the Fourth Proportional to 345,447.72, 518,127.84 and 135,233.28

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Solution

The fourth proportional to 345,447.72, 518,127.84 and 135,233.28 is: 202,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,447.72 : 518,127.84 = 135,233.28 : x
  2. Step 2: Convert to fraction form
    345,447.72/518,127.84 = 135,233.28/x
  3. Step 3: Cross multiply
    345,447.72x = 518,127.84 × 135,233.28
  4. Step 4: Simplify right side
    345,447.72x = 70,068,127,262.52
  5. Step 5: Solve for x
    x = 70,068,127,262.52/345,447.72
  6. Step 6: Final answer
    x = 202,832.80

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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.