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Finding the Fourth Proportional to 403,406.60, 606,422.10 and 285,891.80

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Solution

The fourth proportional to 403,406.60, 606,422.10 and 285,891.80 is: 429,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,406.60 : 606,422.10 = 285,891.80 : x
  2. Step 2: Convert to fraction form
    403,406.60/606,422.10 = 285,891.80/x
  3. Step 3: Cross multiply
    403,406.60x = 606,422.10 × 285,891.80
  4. Step 4: Simplify right side
    403,406.60x = 173,371,105,728.78
  5. Step 5: Solve for x
    x = 173,371,105,728.78/403,406.60
  6. Step 6: Final answer
    x = 429,767.65

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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.