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Finding the Fourth Proportional to 438,628.90, 657,844.93 and 201,744

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Solution

The fourth proportional to 438,628.90, 657,844.93 and 201,744 is: 302,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,628.90 : 657,844.93 = 201,744 : x
  2. Step 2: Convert to fraction form
    438,628.90/657,844.93 = 201,744/x
  3. Step 3: Cross multiply
    438,628.90x = 657,844.93 × 201,744
  4. Step 4: Simplify right side
    438,628.90x = 132,716,267,557.92
  5. Step 5: Solve for x
    x = 132,716,267,557.92/438,628.90
  6. Step 6: Final answer
    x = 302,570.73

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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.