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Finding the Fourth Proportional to 395,637.60, 593,456.40 and 381,640.80

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Solution

The fourth proportional to 395,637.60, 593,456.40 and 381,640.80 is: 572,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,637.60 : 593,456.40 = 381,640.80 : x
  2. Step 2: Convert to fraction form
    395,637.60/593,456.40 = 381,640.80/x
  3. Step 3: Cross multiply
    395,637.60x = 593,456.40 × 381,640.80
  4. Step 4: Simplify right side
    395,637.60x = 226,487,175,261.12
  5. Step 5: Solve for x
    x = 226,487,175,261.12/395,637.60
  6. Step 6: Final answer
    x = 572,461.20

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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.