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Finding the Fourth Proportional to 311,435.77, 429,781.25 and 168,195.84

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Solution

The fourth proportional to 311,435.77, 429,781.25 and 168,195.84 is: 232,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,435.77 : 429,781.25 = 168,195.84 : x
  2. Step 2: Convert to fraction form
    311,435.77/429,781.25 = 168,195.84/x
  3. Step 3: Cross multiply
    311,435.77x = 429,781.25 × 168,195.84
  4. Step 4: Simplify right side
    311,435.77x = 72,287,418,360
  5. Step 5: Solve for x
    x = 72,287,418,360/311,435.77
  6. Step 6: Final answer
    x = 232,110.20

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1.5x scale

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.