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Finding the Fourth Proportional to 311,048, 429,284.04 and 175,132.88

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Solution

The fourth proportional to 311,048, 429,284.04 and 175,132.88 is: 241,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,048 : 429,284.04 = 175,132.88 : x
  2. Step 2: Convert to fraction form
    311,048/429,284.04 = 175,132.88/x
  3. Step 3: Cross multiply
    311,048x = 429,284.04 × 175,132.88
  4. Step 4: Simplify right side
    311,048x = 75,181,750,263.24
  5. Step 5: Solve for x
    x = 75,181,750,263.24/311,048
  6. Step 6: Final answer
    x = 241,704.66

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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.