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Finding the Fourth Proportional to 884,311.65, 1,325,319.30 and 409,987.80

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Solution

The fourth proportional to 884,311.65, 1,325,319.30 and 409,987.80 is: 614,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,311.65 : 1,325,319.30 = 409,987.80 : x
  2. Step 2: Convert to fraction form
    884,311.65/1,325,319.30 = 409,987.80/x
  3. Step 3: Cross multiply
    884,311.65x = 1,325,319.30 × 409,987.80
  4. Step 4: Simplify right side
    884,311.65x = 543,364,744,104.54
  5. Step 5: Solve for x
    x = 543,364,744,104.54/884,311.65
  6. Step 6: Final answer
    x = 614,449.38

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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.