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Finding the Fourth Proportional to 458,788.88, 688,190.25 and 159,278.98

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Solution

The fourth proportional to 458,788.88, 688,190.25 and 159,278.98 is: 238,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,788.88 : 688,190.25 = 159,278.98 : x
  2. Step 2: Convert to fraction form
    458,788.88/688,190.25 = 159,278.98/x
  3. Step 3: Cross multiply
    458,788.88x = 688,190.25 × 159,278.98
  4. Step 4: Simplify right side
    458,788.88x = 109,614,239,082.53
  5. Step 5: Solve for x
    x = 109,614,239,082.53/458,788.88
  6. Step 6: Final answer
    x = 238,920.87

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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.