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Finding the Fourth Proportional to 978,720,670.31, 1,350,634,449.80 and 532,687,231.72

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Solution

The fourth proportional to 978,720,670.31, 1,350,634,449.80 and 532,687,231.72 is: 735,108,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,720,670.31 : 1,350,634,449.80 = 532,687,231.72 : x
  2. Step 2: Convert to fraction form
    978,720,670.31/1,350,634,449.80 = 532,687,231.72/x
  3. Step 3: Cross multiply
    978,720,670.31x = 1,350,634,449.80 × 532,687,231.72
  4. Step 4: Simplify right side
    978,720,670.31x = 719,465,726,127,582,464
  5. Step 5: Solve for x
    x = 719,465,726,127,582,464/978,720,670.31
  6. Step 6: Final answer
    x = 735,108,338.83

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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.