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Finding the Fourth Proportional to 806,472.40, 1,209,854.40 and 406,105.60

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Solution

The fourth proportional to 806,472.40, 1,209,854.40 and 406,105.60 is: 609,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,472.40 : 1,209,854.40 = 406,105.60 : x
  2. Step 2: Convert to fraction form
    806,472.40/1,209,854.40 = 406,105.60/x
  3. Step 3: Cross multiply
    806,472.40x = 1,209,854.40 × 406,105.60
  4. Step 4: Simplify right side
    806,472.40x = 491,328,647,024.64
  5. Step 5: Solve for x
    x = 491,328,647,024.64/806,472.40
  6. Step 6: Final answer
    x = 609,231.82

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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.