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Finding the Fourth Proportional to 311,407.29, 429,742.05 and 168,167.33

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Solution

The fourth proportional to 311,407.29, 429,742.05 and 168,167.33 is: 232,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,407.29 : 429,742.05 = 168,167.33 : x
  2. Step 2: Convert to fraction form
    311,407.29/429,742.05 = 168,167.33/x
  3. Step 3: Cross multiply
    311,407.29x = 429,742.05 × 168,167.33
  4. Step 4: Simplify right side
    311,407.29x = 72,268,570,568.10
  5. Step 5: Solve for x
    x = 72,268,570,568.10/311,407.29
  6. Step 6: Final answer
    x = 232,070.90

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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.