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Finding the Fourth Proportional to 412,973.80, 619,460.70 and 132,519.40

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Solution

The fourth proportional to 412,973.80, 619,460.70 and 132,519.40 is: 198,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,973.80 : 619,460.70 = 132,519.40 : x
  2. Step 2: Convert to fraction form
    412,973.80/619,460.70 = 132,519.40/x
  3. Step 3: Cross multiply
    412,973.80x = 619,460.70 × 132,519.40
  4. Step 4: Simplify right side
    412,973.80x = 82,090,560,287.58
  5. Step 5: Solve for x
    x = 82,090,560,287.58/412,973.80
  6. Step 6: Final answer
    x = 198,779.10

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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.