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Finding the Fourth Proportional to 407,850.48, 611,691.66 and 155,042.28

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Solution

The fourth proportional to 407,850.48, 611,691.66 and 155,042.28 is: 232,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850.48 : 611,691.66 = 155,042.28 : x
  2. Step 2: Convert to fraction form
    407,850.48/611,691.66 = 155,042.28/x
  3. Step 3: Cross multiply
    407,850.48x = 611,691.66 × 155,042.28
  4. Step 4: Simplify right side
    407,850.48x = 94,838,069,623.38
  5. Step 5: Solve for x
    x = 94,838,069,623.38/407,850.48
  6. Step 6: Final answer
    x = 232,531.47

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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.