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Finding the Fourth Proportional to 822,578.40, 1,234,103.76 and 342,712.80

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Solution

The fourth proportional to 822,578.40, 1,234,103.76 and 342,712.80 is: 514,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,578.40 : 1,234,103.76 = 342,712.80 : x
  2. Step 2: Convert to fraction form
    822,578.40/1,234,103.76 = 342,712.80/x
  3. Step 3: Cross multiply
    822,578.40x = 1,234,103.76 × 342,712.80
  4. Step 4: Simplify right side
    822,578.40x = 422,943,155,080.13
  5. Step 5: Solve for x
    x = 422,943,155,080.13/822,578.40
  6. Step 6: Final answer
    x = 514,167.59

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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.