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Finding the Fourth Proportional to 420,298.46, 629,605.47 and 398,221.82

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Solution

The fourth proportional to 420,298.46, 629,605.47 and 398,221.82 is: 596,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,298.46 : 629,605.47 = 398,221.82 : x
  2. Step 2: Convert to fraction form
    420,298.46/629,605.47 = 398,221.82/x
  3. Step 3: Cross multiply
    420,298.46x = 629,605.47 × 398,221.82
  4. Step 4: Simplify right side
    420,298.46x = 250,722,636,145.36
  5. Step 5: Solve for x
    x = 250,722,636,145.36/420,298.46
  6. Step 6: Final answer
    x = 596,534.75

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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.