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Finding the Fourth Proportional to 871,279,969.90, 1,306,919,954.85 and 866,178,136.30

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Solution

The fourth proportional to 871,279,969.90, 1,306,919,954.85 and 866,178,136.30 is: 1,299,267,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,279,969.90 : 1,306,919,954.85 = 866,178,136.30 : x
  2. Step 2: Convert to fraction form
    871,279,969.90/1,306,919,954.85 = 866,178,136.30/x
  3. Step 3: Cross multiply
    871,279,969.90x = 1,306,919,954.85 × 866,178,136.30
  4. Step 4: Simplify right side
    871,279,969.90x = 1,132,025,490,785,252,992
  5. Step 5: Solve for x
    x = 1,132,025,490,785,252,992/871,279,969.90
  6. Step 6: Final answer
    x = 1,299,267,204.45

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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.