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Finding the Fourth Proportional to 511,673.60, 767,441.28 and 137,719.04

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Solution

The fourth proportional to 511,673.60, 767,441.28 and 137,719.04 is: 206,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,673.60 : 767,441.28 = 137,719.04 : x
  2. Step 2: Convert to fraction form
    511,673.60/767,441.28 = 137,719.04/x
  3. Step 3: Cross multiply
    511,673.60x = 767,441.28 × 137,719.04
  4. Step 4: Simplify right side
    511,673.60x = 105,691,276,337.97
  5. Step 5: Solve for x
    x = 105,691,276,337.97/511,673.60
  6. Step 6: Final answer
    x = 206,559.96

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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.