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Finding the Fourth Proportional to 278,897.60, 418,346.40 and 158,831.30

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Solution

The fourth proportional to 278,897.60, 418,346.40 and 158,831.30 is: 238,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,897.60 : 418,346.40 = 158,831.30 : x
  2. Step 2: Convert to fraction form
    278,897.60/418,346.40 = 158,831.30/x
  3. Step 3: Cross multiply
    278,897.60x = 418,346.40 × 158,831.30
  4. Step 4: Simplify right side
    278,897.60x = 66,446,502,562.32
  5. Step 5: Solve for x
    x = 66,446,502,562.32/278,897.60
  6. Step 6: Final answer
    x = 238,246.95

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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.