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Finding the Fourth Proportional to 769,761.88, 1,149,006.02 and 678,861.40

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Solution

The fourth proportional to 769,761.88, 1,149,006.02 and 678,861.40 is: 1,013,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,761.88 : 1,149,006.02 = 678,861.40 : x
  2. Step 2: Convert to fraction form
    769,761.88/1,149,006.02 = 678,861.40/x
  3. Step 3: Cross multiply
    769,761.88x = 1,149,006.02 × 678,861.40
  4. Step 4: Simplify right side
    769,761.88x = 780,015,835,345.63
  5. Step 5: Solve for x
    x = 780,015,835,345.63/769,761.88
  6. Step 6: Final answer
    x = 1,013,320.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.