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Finding the Fourth Proportional to 412,848.80, 619,359.60 and 132,394.40

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Solution

The fourth proportional to 412,848.80, 619,359.60 and 132,394.40 is: 198,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.80 : 619,359.60 = 132,394.40 : x
  2. Step 2: Convert to fraction form
    412,848.80/619,359.60 = 132,394.40/x
  3. Step 3: Cross multiply
    412,848.80x = 619,359.60 × 132,394.40
  4. Step 4: Simplify right side
    412,848.80x = 81,999,742,626.24
  5. Step 5: Solve for x
    x = 81,999,742,626.24/412,848.80
  6. Step 6: Final answer
    x = 198,619.31

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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.