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Finding the Fourth Proportional to 871,279,863.90, 1,306,919,795.85 and 866,178,030.30

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Solution

The fourth proportional to 871,279,863.90, 1,306,919,795.85 and 866,178,030.30 is: 1,299,267,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,279,863.90 : 1,306,919,795.85 = 866,178,030.30 : x
  2. Step 2: Convert to fraction form
    871,279,863.90/1,306,919,795.85 = 866,178,030.30/x
  3. Step 3: Cross multiply
    871,279,863.90x = 1,306,919,795.85 × 866,178,030.30
  4. Step 4: Simplify right side
    871,279,863.90x = 1,132,025,214,529,430,912
  5. Step 5: Solve for x
    x = 1,132,025,214,529,430,912/871,279,863.90
  6. Step 6: Final answer
    x = 1,299,267,045.45

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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.