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Finding the Fourth Proportional to 1,989,934.92, 2,984,610.78 and 978,785.46

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Solution

The fourth proportional to 1,989,934.92, 2,984,610.78 and 978,785.46 is: 1,468,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,934.92 : 2,984,610.78 = 978,785.46 : x
  2. Step 2: Convert to fraction form
    1,989,934.92/2,984,610.78 = 978,785.46/x
  3. Step 3: Cross multiply
    1,989,934.92x = 2,984,610.78 × 978,785.46
  4. Step 4: Simplify right side
    1,989,934.92x = 2,921,293,635,223.26
  5. Step 5: Solve for x
    x = 2,921,293,635,223.26/1,989,934.92
  6. Step 6: Final answer
    x = 1,468,034.76

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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.