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Finding the Fourth Proportional to 814,663,215.60, 1,222,784,013.36 and 770,420,752.32

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Solution

The fourth proportional to 814,663,215.60, 1,222,784,013.36 and 770,420,752.32 is: 1,156,377,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,663,215.60 : 1,222,784,013.36 = 770,420,752.32 : x
  2. Step 2: Convert to fraction form
    814,663,215.60/1,222,784,013.36 = 770,420,752.32/x
  3. Step 3: Cross multiply
    814,663,215.60x = 1,222,784,013.36 × 770,420,752.32
  4. Step 4: Simplify right side
    814,663,215.60x = 942,058,179,497,680,128
  5. Step 5: Solve for x
    x = 942,058,179,497,680,128/814,663,215.60
  6. Step 6: Final answer
    x = 1,156,377,459.37

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1.5x scale

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.