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Finding the Fourth Proportional to 229,419.45, 316,607.82 and 156,974.29

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Solution

The fourth proportional to 229,419.45, 316,607.82 and 156,974.29 is: 216,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,419.45 : 316,607.82 = 156,974.29 : x
  2. Step 2: Convert to fraction form
    229,419.45/316,607.82 = 156,974.29/x
  3. Step 3: Cross multiply
    229,419.45x = 316,607.82 × 156,974.29
  4. Step 4: Simplify right side
    229,419.45x = 49,699,286,961.43
  5. Step 5: Solve for x
    x = 49,699,286,961.43/229,419.45
  6. Step 6: Final answer
    x = 216,630.66

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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.