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Finding the Fourth Proportional to 425,500, 638,359.38 and 159,264.34

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Solution

The fourth proportional to 425,500, 638,359.38 and 159,264.34 is: 238,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,500 : 638,359.38 = 159,264.34 : x
  2. Step 2: Convert to fraction form
    425,500/638,359.38 = 159,264.34/x
  3. Step 3: Cross multiply
    425,500x = 638,359.38 × 159,264.34
  4. Step 4: Simplify right side
    425,500x = 101,667,885,338.51
  5. Step 5: Solve for x
    x = 101,667,885,338.51/425,500
  6. Step 6: Final answer
    x = 238,937.45

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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.