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Finding the Fourth Proportional to 229,292, 316,422.96 and 128,690

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Solution

The fourth proportional to 229,292, 316,422.96 and 128,690 is: 177,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,292 : 316,422.96 = 128,690 : x
  2. Step 2: Convert to fraction form
    229,292/316,422.96 = 128,690/x
  3. Step 3: Cross multiply
    229,292x = 316,422.96 × 128,690
  4. Step 4: Simplify right side
    229,292x = 40,720,470,722.40
  5. Step 5: Solve for x
    x = 40,720,470,722.40/229,292
  6. Step 6: Final answer
    x = 177,592.20

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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.