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Finding the Fourth Proportional to 280,648.24, 420,975.96 and 93,659.74

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Solution

The fourth proportional to 280,648.24, 420,975.96 and 93,659.74 is: 140,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,648.24 : 420,975.96 = 93,659.74 : x
  2. Step 2: Convert to fraction form
    280,648.24/420,975.96 = 93,659.74/x
  3. Step 3: Cross multiply
    280,648.24x = 420,975.96 × 93,659.74
  4. Step 4: Simplify right side
    280,648.24x = 39,428,498,959.85
  5. Step 5: Solve for x
    x = 39,428,498,959.85/280,648.24
  6. Step 6: Final answer
    x = 140,490.81

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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.