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Finding the Fourth Proportional to 472,054.20, 708,698.71 and 280,278.73

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Solution

The fourth proportional to 472,054.20, 708,698.71 and 280,278.73 is: 420,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,054.20 : 708,698.71 = 280,278.73 : x
  2. Step 2: Convert to fraction form
    472,054.20/708,698.71 = 280,278.73/x
  3. Step 3: Cross multiply
    472,054.20x = 708,698.71 × 280,278.73
  4. Step 4: Simplify right side
    472,054.20x = 198,633,174,391.44
  5. Step 5: Solve for x
    x = 198,633,174,391.44/472,054.20
  6. Step 6: Final answer
    x = 420,784.68

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1.5x scale

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.