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Finding the Fourth Proportional to 242,287.70, 363,431.55 and 147,809.30

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Solution

The fourth proportional to 242,287.70, 363,431.55 and 147,809.30 is: 221,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,287.70 : 363,431.55 = 147,809.30 : x
  2. Step 2: Convert to fraction form
    242,287.70/363,431.55 = 147,809.30/x
  3. Step 3: Cross multiply
    242,287.70x = 363,431.55 × 147,809.30
  4. Step 4: Simplify right side
    242,287.70x = 53,718,563,003.42
  5. Step 5: Solve for x
    x = 53,718,563,003.42/242,287.70
  6. Step 6: Final answer
    x = 221,713.95

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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.