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Finding the Fourth Proportional to 1,383,788.28, 1,909,584.50 and 811,209.80

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Solution

The fourth proportional to 1,383,788.28, 1,909,584.50 and 811,209.80 is: 1,119,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,788.28 : 1,909,584.50 = 811,209.80 : x
  2. Step 2: Convert to fraction form
    1,383,788.28/1,909,584.50 = 811,209.80/x
  3. Step 3: Cross multiply
    1,383,788.28x = 1,909,584.50 × 811,209.80
  4. Step 4: Simplify right side
    1,383,788.28x = 1,549,073,660,328.10
  5. Step 5: Solve for x
    x = 1,549,073,660,328.10/1,383,788.28
  6. Step 6: Final answer
    x = 1,119,444.13

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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.