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Finding the Fourth Proportional to 406,909.50, 610,397.46 and 204,401.45

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Solution

The fourth proportional to 406,909.50, 610,397.46 and 204,401.45 is: 306,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,909.50 : 610,397.46 = 204,401.45 : x
  2. Step 2: Convert to fraction form
    406,909.50/610,397.46 = 204,401.45/x
  3. Step 3: Cross multiply
    406,909.50x = 610,397.46 × 204,401.45
  4. Step 4: Simplify right side
    406,909.50x = 124,766,122,848.33
  5. Step 5: Solve for x
    x = 124,766,122,848.33/406,909.50
  6. Step 6: Final answer
    x = 306,618.85

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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.