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Finding the Fourth Proportional to 298,979.30, 448,468.95 and 156,629.90

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Solution

The fourth proportional to 298,979.30, 448,468.95 and 156,629.90 is: 234,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,979.30 : 448,468.95 = 156,629.90 : x
  2. Step 2: Convert to fraction form
    298,979.30/448,468.95 = 156,629.90/x
  3. Step 3: Cross multiply
    298,979.30x = 448,468.95 × 156,629.90
  4. Step 4: Simplify right side
    298,979.30x = 70,243,646,791.61
  5. Step 5: Solve for x
    x = 70,243,646,791.61/298,979.30
  6. Step 6: Final answer
    x = 234,944.85

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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.