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Finding the Fourth Proportional to 306,021.60, 458,813.70 and 137,403.90

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Solution

The fourth proportional to 306,021.60, 458,813.70 and 137,403.90 is: 206,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,021.60 : 458,813.70 = 137,403.90 : x
  2. Step 2: Convert to fraction form
    306,021.60/458,813.70 = 137,403.90/x
  3. Step 3: Cross multiply
    306,021.60x = 458,813.70 × 137,403.90
  4. Step 4: Simplify right side
    306,021.60x = 63,042,791,753.43
  5. Step 5: Solve for x
    x = 63,042,791,753.43/306,021.60
  6. Step 6: Final answer
    x = 206,007.65

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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.