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Finding the Fourth Proportional to 306,211.60, 459,098.70 and 137,593.90

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Solution

The fourth proportional to 306,211.60, 459,098.70 and 137,593.90 is: 206,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,211.60 : 459,098.70 = 137,593.90 : x
  2. Step 2: Convert to fraction form
    306,211.60/459,098.70 = 137,593.90/x
  3. Step 3: Cross multiply
    306,211.60x = 459,098.70 × 137,593.90
  4. Step 4: Simplify right side
    306,211.60x = 63,169,180,617.93
  5. Step 5: Solve for x
    x = 63,169,180,617.93/306,211.60
  6. Step 6: Final answer
    x = 206,292.58

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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.