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Finding the Fourth Proportional to 406,678.34, 609,418.02 and 226,515.62

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Solution

The fourth proportional to 406,678.34, 609,418.02 and 226,515.62 is: 339,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,678.34 : 609,418.02 = 226,515.62 : x
  2. Step 2: Convert to fraction form
    406,678.34/609,418.02 = 226,515.62/x
  3. Step 3: Cross multiply
    406,678.34x = 609,418.02 × 226,515.62
  4. Step 4: Simplify right side
    406,678.34x = 138,042,700,639.47
  5. Step 5: Solve for x
    x = 138,042,700,639.47/406,678.34
  6. Step 6: Final answer
    x = 339,439.52

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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.