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Finding the Fourth Proportional to 395,387.76, 593,088.84 and 142,687.20

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Solution

The fourth proportional to 395,387.76, 593,088.84 and 142,687.20 is: 214,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,387.76 : 593,088.84 = 142,687.20 : x
  2. Step 2: Convert to fraction form
    395,387.76/593,088.84 = 142,687.20/x
  3. Step 3: Cross multiply
    395,387.76x = 593,088.84 × 142,687.20
  4. Step 4: Simplify right side
    395,387.76x = 84,626,185,930.85
  5. Step 5: Solve for x
    x = 84,626,185,930.85/395,387.76
  6. Step 6: Final answer
    x = 214,033.40

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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.