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Finding the Fourth Proportional to 543,203.10, 749,446.47 and 313,729.92

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Solution

The fourth proportional to 543,203.10, 749,446.47 and 313,729.92 is: 432,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,203.10 : 749,446.47 = 313,729.92 : x
  2. Step 2: Convert to fraction form
    543,203.10/749,446.47 = 313,729.92/x
  3. Step 3: Cross multiply
    543,203.10x = 749,446.47 × 313,729.92
  4. Step 4: Simplify right side
    543,203.10x = 235,123,781,077.38
  5. Step 5: Solve for x
    x = 235,123,781,077.38/543,203.10
  6. Step 6: Final answer
    x = 432,846.91

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1.5x scale

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.