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Finding the Fourth Proportional to 298,007.92, 411,251.40 and 162,041.76

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Solution

The fourth proportional to 298,007.92, 411,251.40 and 162,041.76 is: 223,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,007.92 : 411,251.40 = 162,041.76 : x
  2. Step 2: Convert to fraction form
    298,007.92/411,251.40 = 162,041.76/x
  3. Step 3: Cross multiply
    298,007.92x = 411,251.40 × 162,041.76
  4. Step 4: Simplify right side
    298,007.92x = 66,639,900,658.46
  5. Step 5: Solve for x
    x = 66,639,900,658.46/298,007.92
  6. Step 6: Final answer
    x = 223,617.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.