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Finding the Fourth Proportional to 871,272,002.10, 1,306,908,003.15 and 674,001,102.90

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Solution

The fourth proportional to 871,272,002.10, 1,306,908,003.15 and 674,001,102.90 is: 1,011,001,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,272,002.10 : 1,306,908,003.15 = 674,001,102.90 : x
  2. Step 2: Convert to fraction form
    871,272,002.10/1,306,908,003.15 = 674,001,102.90/x
  3. Step 3: Cross multiply
    871,272,002.10x = 1,306,908,003.15 × 674,001,102.90
  4. Step 4: Simplify right side
    871,272,002.10x = 880,857,435,511,936,768
  5. Step 5: Solve for x
    x = 880,857,435,511,936,768/871,272,002.10
  6. Step 6: Final answer
    x = 1,011,001,654.35

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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.