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Finding the Fourth Proportional to 406,138.58, 609,766.92 and 206,594

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Solution

The fourth proportional to 406,138.58, 609,766.92 and 206,594 is: 310,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,138.58 : 609,766.92 = 206,594 : x
  2. Step 2: Convert to fraction form
    406,138.58/609,766.92 = 206,594/x
  3. Step 3: Cross multiply
    406,138.58x = 609,766.92 × 206,594
  4. Step 4: Simplify right side
    406,138.58x = 125,974,187,070.48
  5. Step 5: Solve for x
    x = 125,974,187,070.48/406,138.58
  6. Step 6: Final answer
    x = 310,175.38

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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.