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Finding the Fourth Proportional to 268,210.54, 402,365.13 and 88,306.30

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Solution

The fourth proportional to 268,210.54, 402,365.13 and 88,306.30 is: 132,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,210.54 : 402,365.13 = 88,306.30 : x
  2. Step 2: Convert to fraction form
    268,210.54/402,365.13 = 88,306.30/x
  3. Step 3: Cross multiply
    268,210.54x = 402,365.13 × 88,306.30
  4. Step 4: Simplify right side
    268,210.54x = 35,531,375,879.32
  5. Step 5: Solve for x
    x = 35,531,375,879.32/268,210.54
  6. Step 6: Final answer
    x = 132,475.69

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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.