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Finding the Fourth Proportional to 425,472.96, 638,327.70 and 185,607.84

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Solution

The fourth proportional to 425,472.96, 638,327.70 and 185,607.84 is: 278,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,472.96 : 638,327.70 = 185,607.84 : x
  2. Step 2: Convert to fraction form
    425,472.96/638,327.70 = 185,607.84/x
  3. Step 3: Cross multiply
    425,472.96x = 638,327.70 × 185,607.84
  4. Step 4: Simplify right side
    425,472.96x = 118,478,625,609.17
  5. Step 5: Solve for x
    x = 118,478,625,609.17/425,472.96
  6. Step 6: Final answer
    x = 278,463.35

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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.