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Finding the Fourth Proportional to 438,834.80, 657,723 and 201,852.56

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Solution

The fourth proportional to 438,834.80, 657,723 and 201,852.56 is: 302,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,834.80 : 657,723 = 201,852.56 : x
  2. Step 2: Convert to fraction form
    438,834.80/657,723 = 201,852.56/x
  3. Step 3: Cross multiply
    438,834.80x = 657,723 × 201,852.56
  4. Step 4: Simplify right side
    438,834.80x = 132,763,071,320.88
  5. Step 5: Solve for x
    x = 132,763,071,320.88/438,834.80
  6. Step 6: Final answer
    x = 302,535.42

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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.