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Finding the Fourth Proportional to 438,836.80, 657,726 and 201,854.56

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Solution

The fourth proportional to 438,836.80, 657,726 and 201,854.56 is: 302,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,836.80 : 657,726 = 201,854.56 : x
  2. Step 2: Convert to fraction form
    438,836.80/657,726 = 201,854.56/x
  3. Step 3: Cross multiply
    438,836.80x = 657,726 × 201,854.56
  4. Step 4: Simplify right side
    438,836.80x = 132,764,992,330.56
  5. Step 5: Solve for x
    x = 132,764,992,330.56/438,836.80
  6. Step 6: Final answer
    x = 302,538.42

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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.