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Finding the Fourth Proportional to 305,978.27, 458,459.33 and 187,400.34

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Solution

The fourth proportional to 305,978.27, 458,459.33 and 187,400.34 is: 280,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978.27 : 458,459.33 = 187,400.34 : x
  2. Step 2: Convert to fraction form
    305,978.27/458,459.33 = 187,400.34/x
  3. Step 3: Cross multiply
    305,978.27x = 458,459.33 × 187,400.34
  4. Step 4: Simplify right side
    305,978.27x = 85,915,433,381.17
  5. Step 5: Solve for x
    x = 85,915,433,381.17/305,978.27
  6. Step 6: Final answer
    x = 280,789.33

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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.