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Finding the Fourth Proportional to 242,290.74, 363,494.70 and 76,078.74

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Solution

The fourth proportional to 242,290.74, 363,494.70 and 76,078.74 is: 114,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,290.74 : 363,494.70 = 76,078.74 : x
  2. Step 2: Convert to fraction form
    242,290.74/363,494.70 = 76,078.74/x
  3. Step 3: Cross multiply
    242,290.74x = 363,494.70 × 76,078.74
  4. Step 4: Simplify right side
    242,290.74x = 27,654,218,772.68
  5. Step 5: Solve for x
    x = 27,654,218,772.68/242,290.74
  6. Step 6: Final answer
    x = 114,136.51

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1.5x scale

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.