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Finding the Fourth Proportional to 305,902.86, 458,774.10 and 137,328.90

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Solution

The fourth proportional to 305,902.86, 458,774.10 and 137,328.90 is: 205,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,902.86 : 458,774.10 = 137,328.90 : x
  2. Step 2: Convert to fraction form
    305,902.86/458,774.10 = 137,328.90/x
  3. Step 3: Cross multiply
    305,902.86x = 458,774.10 × 137,328.90
  4. Step 4: Simplify right side
    305,902.86x = 63,002,942,501.49
  5. Step 5: Solve for x
    x = 63,002,942,501.49/305,902.86
  6. Step 6: Final answer
    x = 205,957.35

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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.