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Finding the Fourth Proportional to 978,034,009.30, 1,467,051,013.95 and 881,288,127.70

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Solution

The fourth proportional to 978,034,009.30, 1,467,051,013.95 and 881,288,127.70 is: 1,321,932,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,034,009.30 : 1,467,051,013.95 = 881,288,127.70 : x
  2. Step 2: Convert to fraction form
    978,034,009.30/1,467,051,013.95 = 881,288,127.70/x
  3. Step 3: Cross multiply
    978,034,009.30x = 1,467,051,013.95 × 881,288,127.70
  4. Step 4: Simplify right side
    978,034,009.30x = 1,292,894,641,324,382,208
  5. Step 5: Solve for x
    x = 1,292,894,641,324,382,208/978,034,009.30
  6. Step 6: Final answer
    x = 1,321,932,191.55

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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.