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Finding the Fourth Proportional to 808,543.60, 1,211,794.80 and 409,294.60

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Solution

The fourth proportional to 808,543.60, 1,211,794.80 and 409,294.60 is: 613,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,543.60 : 1,211,794.80 = 409,294.60 : x
  2. Step 2: Convert to fraction form
    808,543.60/1,211,794.80 = 409,294.60/x
  3. Step 3: Cross multiply
    808,543.60x = 1,211,794.80 × 409,294.60
  4. Step 4: Simplify right side
    808,543.60x = 495,981,067,948.08
  5. Step 5: Solve for x
    x = 495,981,067,948.08/808,543.60
  6. Step 6: Final answer
    x = 613,425.26

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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.