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Finding the Fourth Proportional to 425,896, 638,952 and 159,657.28

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Solution

The fourth proportional to 425,896, 638,952 and 159,657.28 is: 239,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,896 : 638,952 = 159,657.28 : x
  2. Step 2: Convert to fraction form
    425,896/638,952 = 159,657.28/x
  3. Step 3: Cross multiply
    425,896x = 638,952 × 159,657.28
  4. Step 4: Simplify right side
    425,896x = 102,013,338,370.56
  5. Step 5: Solve for x
    x = 102,013,338,370.56/425,896
  6. Step 6: Final answer
    x = 239,526.41

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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.