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Finding the Fourth Proportional to 472,081.30, 708,739.27 and 280,305.90

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Solution

The fourth proportional to 472,081.30, 708,739.27 and 280,305.90 is: 420,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,081.30 : 708,739.27 = 280,305.90 : x
  2. Step 2: Convert to fraction form
    472,081.30/708,739.27 = 280,305.90/x
  3. Step 3: Cross multiply
    472,081.30x = 708,739.27 × 280,305.90
  4. Step 4: Simplify right side
    472,081.30x = 198,663,798,241.93
  5. Step 5: Solve for x
    x = 198,663,798,241.93/472,081.30
  6. Step 6: Final answer
    x = 420,825.39

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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.