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Finding the Fourth Proportional to 472,054.70, 708,699.46 and 280,279.23

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Solution

The fourth proportional to 472,054.70, 708,699.46 and 280,279.23 is: 420,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,054.70 : 708,699.46 = 280,279.23 : x
  2. Step 2: Convert to fraction form
    472,054.70/708,699.46 = 280,279.23/x
  3. Step 3: Cross multiply
    472,054.70x = 708,699.46 × 280,279.23
  4. Step 4: Simplify right side
    472,054.70x = 198,633,738,950.22
  5. Step 5: Solve for x
    x = 198,633,738,950.22/472,054.70
  6. Step 6: Final answer
    x = 420,785.43

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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.