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Finding the Fourth Proportional to 406,909.62, 610,239.72 and 281,356.68

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Solution

The fourth proportional to 406,909.62, 610,239.72 and 281,356.68 is: 421,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,909.62 : 610,239.72 = 281,356.68 : x
  2. Step 2: Convert to fraction form
    406,909.62/610,239.72 = 281,356.68/x
  3. Step 3: Cross multiply
    406,909.62x = 610,239.72 × 281,356.68
  4. Step 4: Simplify right side
    406,909.62x = 171,695,021,623.33
  5. Step 5: Solve for x
    x = 171,695,021,623.33/406,909.62
  6. Step 6: Final answer
    x = 421,948.79

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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.