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Finding the Fourth Proportional to 472,077.92, 708,734.21 and 280,302.53

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Solution

The fourth proportional to 472,077.92, 708,734.21 and 280,302.53 is: 420,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,077.92 : 708,734.21 = 280,302.53 : x
  2. Step 2: Convert to fraction form
    472,077.92/708,734.21 = 280,302.53/x
  3. Step 3: Cross multiply
    472,077.92x = 708,734.21 × 280,302.53
  4. Step 4: Simplify right side
    472,077.92x = 198,659,987,215.37
  5. Step 5: Solve for x
    x = 198,659,987,215.37/472,077.92
  6. Step 6: Final answer
    x = 420,820.33

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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.