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Finding the Fourth Proportional to 555,074, 766,000.68 and 300,425.12

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Solution

The fourth proportional to 555,074, 766,000.68 and 300,425.12 is: 414,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,074 : 766,000.68 = 300,425.12 : x
  2. Step 2: Convert to fraction form
    555,074/766,000.68 = 300,425.12/x
  3. Step 3: Cross multiply
    555,074x = 766,000.68 × 300,425.12
  4. Step 4: Simplify right side
    555,074x = 230,125,846,209.08
  5. Step 5: Solve for x
    x = 230,125,846,209.08/555,074
  6. Step 6: Final answer
    x = 414,585.89

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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.