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Finding the Fourth Proportional to 1,242,714,024, 1,714,986,516.96 and 678,229,727.04

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Solution

The fourth proportional to 1,242,714,024, 1,714,986,516.96 and 678,229,727.04 is: 935,979,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,714,024 : 1,714,986,516.96 = 678,229,727.04 : x
  2. Step 2: Convert to fraction form
    1,242,714,024/1,714,986,516.96 = 678,229,727.04/x
  3. Step 3: Cross multiply
    1,242,714,024x = 1,714,986,516.96 × 678,229,727.04
  4. Step 4: Simplify right side
    1,242,714,024x = 1,163,154,837,275,060,992
  5. Step 5: Solve for x
    x = 1,163,154,837,275,060,992/1,242,714,024
  6. Step 6: Final answer
    x = 935,979,489.10

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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.