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Finding the Fourth Proportional to 438,787.92, 657,684.18 and 201,640.62

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Solution

The fourth proportional to 438,787.92, 657,684.18 and 201,640.62 is: 302,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,787.92 : 657,684.18 = 201,640.62 : x
  2. Step 2: Convert to fraction form
    438,787.92/657,684.18 = 201,640.62/x
  3. Step 3: Cross multiply
    438,787.92x = 657,684.18 × 201,640.62
  4. Step 4: Simplify right side
    438,787.92x = 132,615,845,819.39
  5. Step 5: Solve for x
    x = 132,615,845,819.39/438,787.92
  6. Step 6: Final answer
    x = 302,232.22

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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.