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Finding the Fourth Proportional to 278,061.40, 417,092.10 and 188,831.80

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Solution

The fourth proportional to 278,061.40, 417,092.10 and 188,831.80 is: 283,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,061.40 : 417,092.10 = 188,831.80 : x
  2. Step 2: Convert to fraction form
    278,061.40/417,092.10 = 188,831.80/x
  3. Step 3: Cross multiply
    278,061.40x = 417,092.10 × 188,831.80
  4. Step 4: Simplify right side
    278,061.40x = 78,760,252,008.78
  5. Step 5: Solve for x
    x = 78,760,252,008.78/278,061.40
  6. Step 6: Final answer
    x = 283,247.70

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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.