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Finding the Fourth Proportional to 229,486, 316,720.38 and 128,884

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Solution

The fourth proportional to 229,486, 316,720.38 and 128,884 is: 177,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,486 : 316,720.38 = 128,884 : x
  2. Step 2: Convert to fraction form
    229,486/316,720.38 = 128,884/x
  3. Step 3: Cross multiply
    229,486x = 316,720.38 × 128,884
  4. Step 4: Simplify right side
    229,486x = 40,820,189,455.92
  5. Step 5: Solve for x
    x = 40,820,189,455.92/229,486
  6. Step 6: Final answer
    x = 177,876.60

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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.