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Finding the Fourth Proportional to 340,342, 510,517.11 and 103,686.73

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Solution

The fourth proportional to 340,342, 510,517.11 and 103,686.73 is: 155,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,342 : 510,517.11 = 103,686.73 : x
  2. Step 2: Convert to fraction form
    340,342/510,517.11 = 103,686.73/x
  3. Step 3: Cross multiply
    340,342x = 510,517.11 × 103,686.73
  4. Step 4: Simplify right side
    340,342x = 52,933,849,744.95
  5. Step 5: Solve for x
    x = 52,933,849,744.95/340,342
  6. Step 6: Final answer
    x = 155,531.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.