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Finding the Fourth Proportional to 268,164.40, 402,246.60 and 178,934.80

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Solution

The fourth proportional to 268,164.40, 402,246.60 and 178,934.80 is: 268,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,164.40 : 402,246.60 = 178,934.80 : x
  2. Step 2: Convert to fraction form
    268,164.40/402,246.60 = 178,934.80/x
  3. Step 3: Cross multiply
    268,164.40x = 402,246.60 × 178,934.80
  4. Step 4: Simplify right side
    268,164.40x = 71,975,914,921.68
  5. Step 5: Solve for x
    x = 71,975,914,921.68/268,164.40
  6. Step 6: Final answer
    x = 268,402.20

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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.