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Finding the Fourth Proportional to 418,231.95, 626,505.92 and 193,282.59

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Solution

The fourth proportional to 418,231.95, 626,505.92 and 193,282.59 is: 289,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,231.95 : 626,505.92 = 193,282.59 : x
  2. Step 2: Convert to fraction form
    418,231.95/626,505.92 = 193,282.59/x
  3. Step 3: Cross multiply
    418,231.95x = 626,505.92 × 193,282.59
  4. Step 4: Simplify right side
    418,231.95x = 121,092,686,867.93
  5. Step 5: Solve for x
    x = 121,092,686,867.93/418,231.95
  6. Step 6: Final answer
    x = 289,534.76

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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.