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Finding the Fourth Proportional to 278,445.60, 417,449.70 and 153,786.60

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Solution

The fourth proportional to 278,445.60, 417,449.70 and 153,786.60 is: 230,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,445.60 : 417,449.70 = 153,786.60 : x
  2. Step 2: Convert to fraction form
    278,445.60/417,449.70 = 153,786.60/x
  3. Step 3: Cross multiply
    278,445.60x = 417,449.70 × 153,786.60
  4. Step 4: Simplify right side
    278,445.60x = 64,198,170,034.02
  5. Step 5: Solve for x
    x = 64,198,170,034.02/278,445.60
  6. Step 6: Final answer
    x = 230,559.11

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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.