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Finding the Fourth Proportional to 431,523.78, 647,431.50 and 178,925.28

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Solution

The fourth proportional to 431,523.78, 647,431.50 and 178,925.28 is: 268,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,523.78 : 647,431.50 = 178,925.28 : x
  2. Step 2: Convert to fraction form
    431,523.78/647,431.50 = 178,925.28/x
  3. Step 3: Cross multiply
    431,523.78x = 647,431.50 × 178,925.28
  4. Step 4: Simplify right side
    431,523.78x = 115,841,862,418.32
  5. Step 5: Solve for x
    x = 115,841,862,418.32/431,523.78
  6. Step 6: Final answer
    x = 268,448.39

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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.