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Finding the Fourth Proportional to 268,077.60, 402,343.20 and 110,419.20

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Solution

The fourth proportional to 268,077.60, 402,343.20 and 110,419.20 is: 165,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,077.60 : 402,343.20 = 110,419.20 : x
  2. Step 2: Convert to fraction form
    268,077.60/402,343.20 = 110,419.20/x
  3. Step 3: Cross multiply
    268,077.60x = 402,343.20 × 110,419.20
  4. Step 4: Simplify right side
    268,077.60x = 44,426,414,269.44
  5. Step 5: Solve for x
    x = 44,426,414,269.44/268,077.60
  6. Step 6: Final answer
    x = 165,722.22

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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.