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Finding the Fourth Proportional to 341,990.56, 513,080.48 and 142,404.80

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Solution

The fourth proportional to 341,990.56, 513,080.48 and 142,404.80 is: 213,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,990.56 : 513,080.48 = 142,404.80 : x
  2. Step 2: Convert to fraction form
    341,990.56/513,080.48 = 142,404.80/x
  3. Step 3: Cross multiply
    341,990.56x = 513,080.48 × 142,404.80
  4. Step 4: Simplify right side
    341,990.56x = 73,065,123,138.30
  5. Step 5: Solve for x
    x = 73,065,123,138.30/341,990.56
  6. Step 6: Final answer
    x = 213,646.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.