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Finding the Fourth Proportional to 403,424.60, 606,449.10 and 285,909.80

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Solution

The fourth proportional to 403,424.60, 606,449.10 and 285,909.80 is: 429,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,424.60 : 606,449.10 = 285,909.80 : x
  2. Step 2: Convert to fraction form
    403,424.60/606,449.10 = 285,909.80/x
  3. Step 3: Cross multiply
    403,424.60x = 606,449.10 × 285,909.80
  4. Step 4: Simplify right side
    403,424.60x = 173,389,740,891.18
  5. Step 5: Solve for x
    x = 173,389,740,891.18/403,424.60
  6. Step 6: Final answer
    x = 429,794.67

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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.