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Finding the Fourth Proportional to 538,708.70, 743,423.20 and 297,000.66

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Solution

The fourth proportional to 538,708.70, 743,423.20 and 297,000.66 is: 409,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,708.70 : 743,423.20 = 297,000.66 : x
  2. Step 2: Convert to fraction form
    538,708.70/743,423.20 = 297,000.66/x
  3. Step 3: Cross multiply
    538,708.70x = 743,423.20 × 297,000.66
  4. Step 4: Simplify right side
    538,708.70x = 220,797,181,059.31
  5. Step 5: Solve for x
    x = 220,797,181,059.31/538,708.70
  6. Step 6: Final answer
    x = 409,863.77

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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.