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Finding the Fourth Proportional to 311,422.90, 429,763.59 and 168,182.94

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Solution

The fourth proportional to 311,422.90, 429,763.59 and 168,182.94 is: 232,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,422.90 : 429,763.59 = 168,182.94 : x
  2. Step 2: Convert to fraction form
    311,422.90/429,763.59 = 168,182.94/x
  3. Step 3: Cross multiply
    311,422.90x = 429,763.59 × 168,182.94
  4. Step 4: Simplify right side
    311,422.90x = 72,278,904,071.15
  5. Step 5: Solve for x
    x = 72,278,904,071.15/311,422.90
  6. Step 6: Final answer
    x = 232,092.45

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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.