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Finding the Fourth Proportional to 1,428,856.92, 1,971,847.98 and 784,337.04

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Solution

The fourth proportional to 1,428,856.92, 1,971,847.98 and 784,337.04 is: 1,082,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,856.92 : 1,971,847.98 = 784,337.04 : x
  2. Step 2: Convert to fraction form
    1,428,856.92/1,971,847.98 = 784,337.04/x
  3. Step 3: Cross multiply
    1,428,856.92x = 1,971,847.98 × 784,337.04
  4. Step 4: Simplify right side
    1,428,856.92x = 1,546,593,407,963.18
  5. Step 5: Solve for x
    x = 1,546,593,407,963.18/1,428,856.92
  6. Step 6: Final answer
    x = 1,082,399.07

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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.