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Finding the Fourth Proportional to 425,714.13, 638,224.92 and 159,325.38

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Solution

The fourth proportional to 425,714.13, 638,224.92 and 159,325.38 is: 238,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,714.13 : 638,224.92 = 159,325.38 : x
  2. Step 2: Convert to fraction form
    425,714.13/638,224.92 = 159,325.38/x
  3. Step 3: Cross multiply
    425,714.13x = 638,224.92 × 159,325.38
  4. Step 4: Simplify right side
    425,714.13x = 101,685,427,904.47
  5. Step 5: Solve for x
    x = 101,685,427,904.47/425,714.13
  6. Step 6: Final answer
    x = 238,858.48

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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.