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Finding the Fourth Proportional to 642,112.02, 886,121.10 and 387,414

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Solution

The fourth proportional to 642,112.02, 886,121.10 and 387,414 is: 534,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,112.02 : 886,121.10 = 387,414 : x
  2. Step 2: Convert to fraction form
    642,112.02/886,121.10 = 387,414/x
  3. Step 3: Cross multiply
    642,112.02x = 886,121.10 × 387,414
  4. Step 4: Simplify right side
    642,112.02x = 343,295,719,835.40
  5. Step 5: Solve for x
    x = 343,295,719,835.40/642,112.02
  6. Step 6: Final answer
    x = 534,635.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.