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Finding the Fourth Proportional to 318,739.92, 477,957.39 and 185,658.13

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Solution

The fourth proportional to 318,739.92, 477,957.39 and 185,658.13 is: 278,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,739.92 : 477,957.39 = 185,658.13 : x
  2. Step 2: Convert to fraction form
    318,739.92/477,957.39 = 185,658.13/x
  3. Step 3: Cross multiply
    318,739.92x = 477,957.39 × 185,658.13
  4. Step 4: Simplify right side
    318,739.92x = 88,736,675,247.08
  5. Step 5: Solve for x
    x = 88,736,675,247.08/318,739.92
  6. Step 6: Final answer
    x = 278,398.37

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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.