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Finding the Fourth Proportional to 674,294.64, 930,711.96 and 419,493.84

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Solution

The fourth proportional to 674,294.64, 930,711.96 and 419,493.84 is: 579,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,294.64 : 930,711.96 = 419,493.84 : x
  2. Step 2: Convert to fraction form
    674,294.64/930,711.96 = 419,493.84/x
  3. Step 3: Cross multiply
    674,294.64x = 930,711.96 × 419,493.84
  4. Step 4: Simplify right side
    674,294.64x = 390,427,934,034.33
  5. Step 5: Solve for x
    x = 390,427,934,034.33/674,294.64
  6. Step 6: Final answer
    x = 579,016.81

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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.