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Finding the Fourth Proportional to 229,289, 316,418.82 and 128,687

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Solution

The fourth proportional to 229,289, 316,418.82 and 128,687 is: 177,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,289 : 316,418.82 = 128,687 : x
  2. Step 2: Convert to fraction form
    229,289/316,418.82 = 128,687/x
  3. Step 3: Cross multiply
    229,289x = 316,418.82 × 128,687
  4. Step 4: Simplify right side
    229,289x = 40,718,988,689.34
  5. Step 5: Solve for x
    x = 40,718,988,689.34/229,289
  6. Step 6: Final answer
    x = 177,588.06

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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.