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Finding the Fourth Proportional to 229,390.45, 316,583.78 and 138,796.40

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Solution

The fourth proportional to 229,390.45, 316,583.78 and 138,796.40 is: 191,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,390.45 : 316,583.78 = 138,796.40 : x
  2. Step 2: Convert to fraction form
    229,390.45/316,583.78 = 138,796.40/x
  3. Step 3: Cross multiply
    229,390.45x = 316,583.78 × 138,796.40
  4. Step 4: Simplify right side
    229,390.45x = 43,940,689,059.87
  5. Step 5: Solve for x
    x = 43,940,689,059.87/229,390.45
  6. Step 6: Final answer
    x = 191,554.14

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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.