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Finding the Fourth Proportional to 311,045.28, 429,243.12 and 176,909.28

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Solution

The fourth proportional to 311,045.28, 429,243.12 and 176,909.28 is: 244,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,045.28 : 429,243.12 = 176,909.28 : x
  2. Step 2: Convert to fraction form
    311,045.28/429,243.12 = 176,909.28/x
  3. Step 3: Cross multiply
    311,045.28x = 429,243.12 × 176,909.28
  4. Step 4: Simplify right side
    311,045.28x = 75,937,091,304.15
  5. Step 5: Solve for x
    x = 75,937,091,304.15/311,045.28
  6. Step 6: Final answer
    x = 244,135.17

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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.