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Finding the Fourth Proportional to 971,947.31, 1,456,739.01 and 687,719.78

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Solution

The fourth proportional to 971,947.31, 1,456,739.01 and 687,719.78 is: 1,030,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,947.31 : 1,456,739.01 = 687,719.78 : x
  2. Step 2: Convert to fraction form
    971,947.31/1,456,739.01 = 687,719.78/x
  3. Step 3: Cross multiply
    971,947.31x = 1,456,739.01 × 687,719.78
  4. Step 4: Simplify right side
    971,947.31x = 1,001,828,231,474.62
  5. Step 5: Solve for x
    x = 1,001,828,231,474.62/971,947.31
  6. Step 6: Final answer
    x = 1,030,743.36

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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.