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Finding the Fourth Proportional to 438,053.52, 656,981.19 and 201,168.48

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Solution

The fourth proportional to 438,053.52, 656,981.19 and 201,168.48 is: 301,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,053.52 : 656,981.19 = 201,168.48 : x
  2. Step 2: Convert to fraction form
    438,053.52/656,981.19 = 201,168.48/x
  3. Step 3: Cross multiply
    438,053.52x = 656,981.19 × 201,168.48
  4. Step 4: Simplify right side
    438,053.52x = 132,163,907,380.89
  5. Step 5: Solve for x
    x = 132,163,907,380.89/438,053.52
  6. Step 6: Final answer
    x = 301,707.21

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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.