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Finding the Fourth Proportional to 540,872.55, 746,314.92 and 299,107.89

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Solution

The fourth proportional to 540,872.55, 746,314.92 and 299,107.89 is: 412,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,872.55 : 746,314.92 = 299,107.89 : x
  2. Step 2: Convert to fraction form
    540,872.55/746,314.92 = 299,107.89/x
  3. Step 3: Cross multiply
    540,872.55x = 746,314.92 × 299,107.89
  4. Step 4: Simplify right side
    540,872.55x = 223,228,680,996.72
  5. Step 5: Solve for x
    x = 223,228,680,996.72/540,872.55
  6. Step 6: Final answer
    x = 412,719.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.