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Finding the Fourth Proportional to 865,647.80, 1,298,471.70 and 853,206.20

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Solution

The fourth proportional to 865,647.80, 1,298,471.70 and 853,206.20 is: 1,279,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,647.80 : 1,298,471.70 = 853,206.20 : x
  2. Step 2: Convert to fraction form
    865,647.80/1,298,471.70 = 853,206.20/x
  3. Step 3: Cross multiply
    865,647.80x = 1,298,471.70 × 853,206.20
  4. Step 4: Simplify right side
    865,647.80x = 1,107,864,104,964.54
  5. Step 5: Solve for x
    x = 1,107,864,104,964.54/865,647.80
  6. Step 6: Final answer
    x = 1,279,809.30

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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.