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Finding the Fourth Proportional to 476,938.38, 657,517.30 and 380,469.66

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Solution

The fourth proportional to 476,938.38, 657,517.30 and 380,469.66 is: 524,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,938.38 : 657,517.30 = 380,469.66 : x
  2. Step 2: Convert to fraction form
    476,938.38/657,517.30 = 380,469.66/x
  3. Step 3: Cross multiply
    476,938.38x = 657,517.30 × 380,469.66
  4. Step 4: Simplify right side
    476,938.38x = 250,165,384,050.71
  5. Step 5: Solve for x
    x = 250,165,384,050.71/476,938.38
  6. Step 6: Final answer
    x = 524,523.49

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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.