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Finding the Fourth Proportional to 871,882,374.72, 1,203,489,236.52 and 519,568,844.16

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Solution

The fourth proportional to 871,882,374.72, 1,203,489,236.52 and 519,568,844.16 is: 717,178,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,882,374.72 : 1,203,489,236.52 = 519,568,844.16 : x
  2. Step 2: Convert to fraction form
    871,882,374.72/1,203,489,236.52 = 519,568,844.16/x
  3. Step 3: Cross multiply
    871,882,374.72x = 1,203,489,236.52 × 519,568,844.16
  4. Step 4: Simplify right side
    871,882,374.72x = 625,295,511,577,697,280
  5. Step 5: Solve for x
    x = 625,295,511,577,697,280/871,882,374.72
  6. Step 6: Final answer
    x = 717,178,749.92

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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.