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Finding the Fourth Proportional to 311,369.70, 429,731.02 and 175,429.88

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Solution

The fourth proportional to 311,369.70, 429,731.02 and 175,429.88 is: 242,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,369.70 : 429,731.02 = 175,429.88 : x
  2. Step 2: Convert to fraction form
    311,369.70/429,731.02 = 175,429.88/x
  3. Step 3: Cross multiply
    311,369.70x = 429,731.02 × 175,429.88
  4. Step 4: Simplify right side
    311,369.70x = 75,387,661,270.88
  5. Step 5: Solve for x
    x = 75,387,661,270.88/311,369.70
  6. Step 6: Final answer
    x = 242,116.24

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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.