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Finding the Fourth Proportional to 255,407.80, 352,470.78 and 140,694.76

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Solution

The fourth proportional to 255,407.80, 352,470.78 and 140,694.76 is: 194,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,407.80 : 352,470.78 = 140,694.76 : x
  2. Step 2: Convert to fraction form
    255,407.80/352,470.78 = 140,694.76/x
  3. Step 3: Cross multiply
    255,407.80x = 352,470.78 × 140,694.76
  4. Step 4: Simplify right side
    255,407.80x = 49,590,791,799.11
  5. Step 5: Solve for x
    x = 49,590,791,799.11/255,407.80
  6. Step 6: Final answer
    x = 194,163.18

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1.5x scale

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.