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Finding the Fourth Proportional to 229,418.40, 316,542 and 133,870.56

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Solution

The fourth proportional to 229,418.40, 316,542 and 133,870.56 is: 184,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,418.40 : 316,542 = 133,870.56 : x
  2. Step 2: Convert to fraction form
    229,418.40/316,542 = 133,870.56/x
  3. Step 3: Cross multiply
    229,418.40x = 316,542 × 133,870.56
  4. Step 4: Simplify right side
    229,418.40x = 42,375,654,803.52
  5. Step 5: Solve for x
    x = 42,375,654,803.52/229,418.40
  6. Step 6: Final answer
    x = 184,709.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.