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Finding the Fourth Proportional to 863,168,001.70, 1,294,752,002.55 and 784,561,972.90

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Solution

The fourth proportional to 863,168,001.70, 1,294,752,002.55 and 784,561,972.90 is: 1,176,842,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,168,001.70 : 1,294,752,002.55 = 784,561,972.90 : x
  2. Step 2: Convert to fraction form
    863,168,001.70/1,294,752,002.55 = 784,561,972.90/x
  3. Step 3: Cross multiply
    863,168,001.70x = 1,294,752,002.55 × 784,561,972.90
  4. Step 4: Simplify right side
    863,168,001.70x = 1,015,813,185,536,853,760
  5. Step 5: Solve for x
    x = 1,015,813,185,536,853,760/863,168,001.70
  6. Step 6: Final answer
    x = 1,176,842,959.35

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1.5x scale

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.