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Finding the Fourth Proportional to 255,437.60, 352,490 and 140,693.88

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Solution

The fourth proportional to 255,437.60, 352,490 and 140,693.88 is: 194,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,437.60 : 352,490 = 140,693.88 : x
  2. Step 2: Convert to fraction form
    255,437.60/352,490 = 140,693.88/x
  3. Step 3: Cross multiply
    255,437.60x = 352,490 × 140,693.88
  4. Step 4: Simplify right side
    255,437.60x = 49,593,185,761.20
  5. Step 5: Solve for x
    x = 49,593,185,761.20/255,437.60
  6. Step 6: Final answer
    x = 194,149.90

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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.