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Finding the Fourth Proportional to 827,700.80, 1,142,142 and 465,067.04

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Solution

The fourth proportional to 827,700.80, 1,142,142 and 465,067.04 is: 641,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,700.80 : 1,142,142 = 465,067.04 : x
  2. Step 2: Convert to fraction form
    827,700.80/1,142,142 = 465,067.04/x
  3. Step 3: Cross multiply
    827,700.80x = 1,142,142 × 465,067.04
  4. Step 4: Simplify right side
    827,700.80x = 531,172,599,199.68
  5. Step 5: Solve for x
    x = 531,172,599,199.68/827,700.80
  6. Step 6: Final answer
    x = 641,744.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.