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Finding the Fourth Proportional to 425,494, 638,350.35 and 159,258.34

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Solution

The fourth proportional to 425,494, 638,350.35 and 159,258.34 is: 238,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,494 : 638,350.35 = 159,258.34 : x
  2. Step 2: Convert to fraction form
    425,494/638,350.35 = 159,258.34/x
  3. Step 3: Cross multiply
    425,494x = 638,350.35 × 159,258.34
  4. Step 4: Simplify right side
    425,494x = 101,662,617,079.42
  5. Step 5: Solve for x
    x = 101,662,617,079.42/425,494
  6. Step 6: Final answer
    x = 238,928.44

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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.