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Finding the Fourth Proportional to 438,838.80, 657,729 and 201,856.56

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Solution

The fourth proportional to 438,838.80, 657,729 and 201,856.56 is: 302,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,838.80 : 657,729 = 201,856.56 : x
  2. Step 2: Convert to fraction form
    438,838.80/657,729 = 201,856.56/x
  3. Step 3: Cross multiply
    438,838.80x = 657,729 × 201,856.56
  4. Step 4: Simplify right side
    438,838.80x = 132,766,913,352.24
  5. Step 5: Solve for x
    x = 132,766,913,352.24/438,838.80
  6. Step 6: Final answer
    x = 302,541.42

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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.