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Finding the Fourth Proportional to 487,854.56, 731,759.88 and 203,427.92

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Solution

The fourth proportional to 487,854.56, 731,759.88 and 203,427.92 is: 305,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,854.56 : 731,759.88 = 203,427.92 : x
  2. Step 2: Convert to fraction form
    487,854.56/731,759.88 = 203,427.92/x
  3. Step 3: Cross multiply
    487,854.56x = 731,759.88 × 203,427.92
  4. Step 4: Simplify right side
    487,854.56x = 148,860,390,327.85
  5. Step 5: Solve for x
    x = 148,860,390,327.85/487,854.56
  6. Step 6: Final answer
    x = 305,132.72

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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.