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Finding the Fourth Proportional to 497,082.80, 745,568.40 and 137,304.80

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Solution

The fourth proportional to 497,082.80, 745,568.40 and 137,304.80 is: 205,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,082.80 : 745,568.40 = 137,304.80 : x
  2. Step 2: Convert to fraction form
    497,082.80/745,568.40 = 137,304.80/x
  3. Step 3: Cross multiply
    497,082.80x = 745,568.40 × 137,304.80
  4. Step 4: Simplify right side
    497,082.80x = 102,370,120,048.32
  5. Step 5: Solve for x
    x = 102,370,120,048.32/497,082.80
  6. Step 6: Final answer
    x = 205,941.79

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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.