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Finding the Fourth Proportional to 268,305.60, 402,458.40 and 81,292.80

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Solution

The fourth proportional to 268,305.60, 402,458.40 and 81,292.80 is: 121,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,305.60 : 402,458.40 = 81,292.80 : x
  2. Step 2: Convert to fraction form
    268,305.60/402,458.40 = 81,292.80/x
  3. Step 3: Cross multiply
    268,305.60x = 402,458.40 × 81,292.80
  4. Step 4: Simplify right side
    268,305.60x = 32,716,970,219.52
  5. Step 5: Solve for x
    x = 32,716,970,219.52/268,305.60
  6. Step 6: Final answer
    x = 121,939.20

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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.