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Finding the Fourth Proportional to 678,761.60, 1,017,472.80 and 379,385.60

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Solution

The fourth proportional to 678,761.60, 1,017,472.80 and 379,385.60 is: 568,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,761.60 : 1,017,472.80 = 379,385.60 : x
  2. Step 2: Convert to fraction form
    678,761.60/1,017,472.80 = 379,385.60/x
  3. Step 3: Cross multiply
    678,761.60x = 1,017,472.80 × 379,385.60
  4. Step 4: Simplify right side
    678,761.60x = 386,014,528,711.68
  5. Step 5: Solve for x
    x = 386,014,528,711.68/678,761.60
  6. Step 6: Final answer
    x = 568,704.14

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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.