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Finding the Fourth Proportional to 229,422, 316,616.40 and 128,820

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Solution

The fourth proportional to 229,422, 316,616.40 and 128,820 is: 177,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,422 : 316,616.40 = 128,820 : x
  2. Step 2: Convert to fraction form
    229,422/316,616.40 = 128,820/x
  3. Step 3: Cross multiply
    229,422x = 316,616.40 × 128,820
  4. Step 4: Simplify right side
    229,422x = 40,786,524,648
  5. Step 5: Solve for x
    x = 40,786,524,648/229,422
  6. Step 6: Final answer
    x = 177,779.48

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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.