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Finding the Fourth Proportional to 403,436.60, 606,467.10 and 285,921.80

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Solution

The fourth proportional to 403,436.60, 606,467.10 and 285,921.80 is: 429,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,436.60 : 606,467.10 = 285,921.80 : x
  2. Step 2: Convert to fraction form
    403,436.60/606,467.10 = 285,921.80/x
  3. Step 3: Cross multiply
    403,436.60x = 606,467.10 × 285,921.80
  4. Step 4: Simplify right side
    403,436.60x = 173,402,164,872.78
  5. Step 5: Solve for x
    x = 173,402,164,872.78/403,436.60
  6. Step 6: Final answer
    x = 429,812.68

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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.