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Finding the Fourth Proportional to 280,188.72, 420,046.56 and 130,351.68

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Solution

The fourth proportional to 280,188.72, 420,046.56 and 130,351.68 is: 195,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,188.72 : 420,046.56 = 130,351.68 : x
  2. Step 2: Convert to fraction form
    280,188.72/420,046.56 = 130,351.68/x
  3. Step 3: Cross multiply
    280,188.72x = 420,046.56 × 130,351.68
  4. Step 4: Simplify right side
    280,188.72x = 54,753,774,774.22
  5. Step 5: Solve for x
    x = 54,753,774,774.22/280,188.72
  6. Step 6: Final answer
    x = 195,417.48

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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.