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Finding the Fourth Proportional to 425,443.42, 638,283.75 and 185,578.75

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Solution

The fourth proportional to 425,443.42, 638,283.75 and 185,578.75 is: 278,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,443.42 : 638,283.75 = 185,578.75 : x
  2. Step 2: Convert to fraction form
    425,443.42/638,283.75 = 185,578.75/x
  3. Step 3: Cross multiply
    425,443.42x = 638,283.75 × 185,578.75
  4. Step 4: Simplify right side
    425,443.42x = 118,451,900,470.31
  5. Step 5: Solve for x
    x = 118,451,900,470.31/425,443.42
  6. Step 6: Final answer
    x = 278,419.87

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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.