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Finding the Fourth Proportional to 313,397.92, 432,845.22 and 211,247.20

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Solution

The fourth proportional to 313,397.92, 432,845.22 and 211,247.20 is: 291,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,397.92 : 432,845.22 = 211,247.20 : x
  2. Step 2: Convert to fraction form
    313,397.92/432,845.22 = 211,247.20/x
  3. Step 3: Cross multiply
    313,397.92x = 432,845.22 × 211,247.20
  4. Step 4: Simplify right side
    313,397.92x = 91,437,340,758.38
  5. Step 5: Solve for x
    x = 91,437,340,758.38/313,397.92
  6. Step 6: Final answer
    x = 291,761.16

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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.