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Finding the Fourth Proportional to 268,494.57, 402,720.78 and 156,103.14

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Solution

The fourth proportional to 268,494.57, 402,720.78 and 156,103.14 is: 234,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,494.57 : 402,720.78 = 156,103.14 : x
  2. Step 2: Convert to fraction form
    268,494.57/402,720.78 = 156,103.14/x
  3. Step 3: Cross multiply
    268,494.57x = 402,720.78 × 156,103.14
  4. Step 4: Simplify right side
    268,494.57x = 62,865,978,301.25
  5. Step 5: Solve for x
    x = 62,865,978,301.25/268,494.57
  6. Step 6: Final answer
    x = 234,142.46

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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.