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Finding the Fourth Proportional to 458,702.61, 687,472.65 and 259,135.44

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Solution

The fourth proportional to 458,702.61, 687,472.65 and 259,135.44 is: 388,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,702.61 : 687,472.65 = 259,135.44 : x
  2. Step 2: Convert to fraction form
    458,702.61/687,472.65 = 259,135.44/x
  3. Step 3: Cross multiply
    458,702.61x = 687,472.65 × 259,135.44
  4. Step 4: Simplify right side
    458,702.61x = 178,148,527,645.72
  5. Step 5: Solve for x
    x = 178,148,527,645.72/458,702.61
  6. Step 6: Final answer
    x = 388,374.79

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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.