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Finding the Fourth Proportional to 316,812, 437,092.92 and 180,748.20

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Solution

The fourth proportional to 316,812, 437,092.92 and 180,748.20 is: 249,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,812 : 437,092.92 = 180,748.20 : x
  2. Step 2: Convert to fraction form
    316,812/437,092.92 = 180,748.20/x
  3. Step 3: Cross multiply
    316,812x = 437,092.92 × 180,748.20
  4. Step 4: Simplify right side
    316,812x = 79,003,758,522.74
  5. Step 5: Solve for x
    x = 79,003,758,522.74/316,812
  6. Step 6: Final answer
    x = 249,371.11

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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.