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Finding the Fourth Proportional to 287,753.88, 431,755.17 and 154,478.49

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Solution

The fourth proportional to 287,753.88, 431,755.17 and 154,478.49 is: 231,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,753.88 : 431,755.17 = 154,478.49 : x
  2. Step 2: Convert to fraction form
    287,753.88/431,755.17 = 154,478.49/x
  3. Step 3: Cross multiply
    287,753.88x = 431,755.17 × 154,478.49
  4. Step 4: Simplify right side
    287,753.88x = 66,696,886,711.29
  5. Step 5: Solve for x
    x = 66,696,886,711.29/287,753.88
  6. Step 6: Final answer
    x = 231,784.49

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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.