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Finding the Fourth Proportional to 306,939.60, 460,318.68 and 138,362.64

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Solution

The fourth proportional to 306,939.60, 460,318.68 and 138,362.64 is: 207,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,939.60 : 460,318.68 = 138,362.64 : x
  2. Step 2: Convert to fraction form
    306,939.60/460,318.68 = 138,362.64/x
  3. Step 3: Cross multiply
    306,939.60x = 460,318.68 × 138,362.64
  4. Step 4: Simplify right side
    306,939.60x = 63,690,907,806.12
  5. Step 5: Solve for x
    x = 63,690,907,806.12/306,939.60
  6. Step 6: Final answer
    x = 207,503.07

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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.