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Finding the Fourth Proportional to 315,422.64, 435,291.48 and 172,195.92

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Solution

The fourth proportional to 315,422.64, 435,291.48 and 172,195.92 is: 237,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422.64 : 435,291.48 = 172,195.92 : x
  2. Step 2: Convert to fraction form
    315,422.64/435,291.48 = 172,195.92/x
  3. Step 3: Cross multiply
    315,422.64x = 435,291.48 × 172,195.92
  4. Step 4: Simplify right side
    315,422.64x = 74,955,416,866.76
  5. Step 5: Solve for x
    x = 74,955,416,866.76/315,422.64
  6. Step 6: Final answer
    x = 237,634.87

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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.