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Finding the Fourth Proportional to 311,548.32, 429,936.80 and 168,308.32

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Solution

The fourth proportional to 311,548.32, 429,936.80 and 168,308.32 is: 232,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,548.32 : 429,936.80 = 168,308.32 : x
  2. Step 2: Convert to fraction form
    311,548.32/429,936.80 = 168,308.32/x
  3. Step 3: Cross multiply
    311,548.32x = 429,936.80 × 168,308.32
  4. Step 4: Simplify right side
    311,548.32x = 72,361,940,514.18
  5. Step 5: Solve for x
    x = 72,361,940,514.18/311,548.32
  6. Step 6: Final answer
    x = 232,265.55

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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.