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Finding the Fourth Proportional to 472,067.74, 708,718.90 and 280,292.21

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Solution

The fourth proportional to 472,067.74, 708,718.90 and 280,292.21 is: 420,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,067.74 : 708,718.90 = 280,292.21 : x
  2. Step 2: Convert to fraction form
    472,067.74/708,718.90 = 280,292.21/x
  3. Step 3: Cross multiply
    472,067.74x = 708,718.90 × 280,292.21
  4. Step 4: Simplify right side
    472,067.74x = 198,648,386,749.77
  5. Step 5: Solve for x
    x = 198,648,386,749.77/472,067.74
  6. Step 6: Final answer
    x = 420,804.83

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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.