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Finding the Fourth Proportional to 486,458.73, 729,055.17 and 197,934.13

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Solution

The fourth proportional to 486,458.73, 729,055.17 and 197,934.13 is: 296,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,458.73 : 729,055.17 = 197,934.13 : x
  2. Step 2: Convert to fraction form
    486,458.73/729,055.17 = 197,934.13/x
  3. Step 3: Cross multiply
    486,458.73x = 729,055.17 × 197,934.13
  4. Step 4: Simplify right side
    486,458.73x = 144,304,902,449.52
  5. Step 5: Solve for x
    x = 144,304,902,449.52/486,458.73
  6. Step 6: Final answer
    x = 296,643.67

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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.