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Finding the Fourth Proportional to 308,521.28, 462,785.76 and 98,158.40

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Solution

The fourth proportional to 308,521.28, 462,785.76 and 98,158.40 is: 147,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,521.28 : 462,785.76 = 98,158.40 : x
  2. Step 2: Convert to fraction form
    308,521.28/462,785.76 = 98,158.40/x
  3. Step 3: Cross multiply
    308,521.28x = 462,785.76 × 98,158.40
  4. Step 4: Simplify right side
    308,521.28x = 45,426,309,744.38
  5. Step 5: Solve for x
    x = 45,426,309,744.38/308,521.28
  6. Step 6: Final answer
    x = 147,238.82

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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.