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Finding the Fourth Proportional to 311,199, 429,429.06 and 175,189.50

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Solution

The fourth proportional to 311,199, 429,429.06 and 175,189.50 is: 241,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,199 : 429,429.06 = 175,189.50 : x
  2. Step 2: Convert to fraction form
    311,199/429,429.06 = 175,189.50/x
  3. Step 3: Cross multiply
    311,199x = 429,429.06 × 175,189.50
  4. Step 4: Simplify right side
    311,199x = 75,231,462,306.87
  5. Step 5: Solve for x
    x = 75,231,462,306.87/311,199
  6. Step 6: Final answer
    x = 241,747.12

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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.