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Finding the Fourth Proportional to 650,505.29, 976,318.43 and 450,965.80

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Solution

The fourth proportional to 650,505.29, 976,318.43 and 450,965.80 is: 676,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,505.29 : 976,318.43 = 450,965.80 : x
  2. Step 2: Convert to fraction form
    650,505.29/976,318.43 = 450,965.80/x
  3. Step 3: Cross multiply
    650,505.29x = 976,318.43 × 450,965.80
  4. Step 4: Simplify right side
    650,505.29x = 440,286,221,839.69
  5. Step 5: Solve for x
    x = 440,286,221,839.69/650,505.29
  6. Step 6: Final answer
    x = 676,837.27

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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.