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Finding the Fourth Proportional to 876,724.80, 1,209,944.16 and 494,784.96

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Solution

The fourth proportional to 876,724.80, 1,209,944.16 and 494,784.96 is: 682,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,724.80 : 1,209,944.16 = 494,784.96 : x
  2. Step 2: Convert to fraction form
    876,724.80/1,209,944.16 = 494,784.96/x
  3. Step 3: Cross multiply
    876,724.80x = 1,209,944.16 × 494,784.96
  4. Step 4: Simplify right side
    876,724.80x = 598,662,172,807.83
  5. Step 5: Solve for x
    x = 598,662,172,807.83/876,724.80
  6. Step 6: Final answer
    x = 682,839.33

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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.