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Finding the Fourth Proportional to 781,318.80, 1,171,978.20 and 688,006.80

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Solution

The fourth proportional to 781,318.80, 1,171,978.20 and 688,006.80 is: 1,032,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,318.80 : 1,171,978.20 = 688,006.80 : x
  2. Step 2: Convert to fraction form
    781,318.80/1,171,978.20 = 688,006.80/x
  3. Step 3: Cross multiply
    781,318.80x = 1,171,978.20 × 688,006.80
  4. Step 4: Simplify right side
    781,318.80x = 806,328,971,051.76
  5. Step 5: Solve for x
    x = 806,328,971,051.76/781,318.80
  6. Step 6: Final answer
    x = 1,032,010.20

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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.