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Finding the Fourth Proportional to 278,148.40, 417,222.60 and 151,739.80

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Solution

The fourth proportional to 278,148.40, 417,222.60 and 151,739.80 is: 227,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,148.40 : 417,222.60 = 151,739.80 : x
  2. Step 2: Convert to fraction form
    278,148.40/417,222.60 = 151,739.80/x
  3. Step 3: Cross multiply
    278,148.40x = 417,222.60 × 151,739.80
  4. Step 4: Simplify right side
    278,148.40x = 63,309,273,879.48
  5. Step 5: Solve for x
    x = 63,309,273,879.48/278,148.40
  6. Step 6: Final answer
    x = 227,609.70

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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.