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Finding the Fourth Proportional to 417,209.40, 625,814.10 and 400,879.80

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Solution

The fourth proportional to 417,209.40, 625,814.10 and 400,879.80 is: 601,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,209.40 : 625,814.10 = 400,879.80 : x
  2. Step 2: Convert to fraction form
    417,209.40/625,814.10 = 400,879.80/x
  3. Step 3: Cross multiply
    417,209.40x = 625,814.10 × 400,879.80
  4. Step 4: Simplify right side
    417,209.40x = 250,876,231,245.18
  5. Step 5: Solve for x
    x = 250,876,231,245.18/417,209.40
  6. Step 6: Final answer
    x = 601,319.70

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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.