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Finding the Fourth Proportional to 840,587, 1,160,010.06 and 538,781

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Solution

The fourth proportional to 840,587, 1,160,010.06 and 538,781 is: 743,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,587 : 1,160,010.06 = 538,781 : x
  2. Step 2: Convert to fraction form
    840,587/1,160,010.06 = 538,781/x
  3. Step 3: Cross multiply
    840,587x = 1,160,010.06 × 538,781
  4. Step 4: Simplify right side
    840,587x = 624,991,380,136.86
  5. Step 5: Solve for x
    x = 624,991,380,136.86/840,587
  6. Step 6: Final answer
    x = 743,517.78

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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.