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Finding the Fourth Proportional to 438,839.80, 657,730.50 and 201,857.56

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Solution

The fourth proportional to 438,839.80, 657,730.50 and 201,857.56 is: 302,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,839.80 : 657,730.50 = 201,857.56 : x
  2. Step 2: Convert to fraction form
    438,839.80/657,730.50 = 201,857.56/x
  3. Step 3: Cross multiply
    438,839.80x = 657,730.50 × 201,857.56
  4. Step 4: Simplify right side
    438,839.80x = 132,767,873,867.58
  5. Step 5: Solve for x
    x = 132,767,873,867.58/438,839.80
  6. Step 6: Final answer
    x = 302,542.92

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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.