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Finding the Fourth Proportional to 406,098.80, 609,002.40 and 206,352.80

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Solution

The fourth proportional to 406,098.80, 609,002.40 and 206,352.80 is: 309,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,098.80 : 609,002.40 = 206,352.80 : x
  2. Step 2: Convert to fraction form
    406,098.80/609,002.40 = 206,352.80/x
  3. Step 3: Cross multiply
    406,098.80x = 609,002.40 × 206,352.80
  4. Step 4: Simplify right side
    406,098.80x = 125,669,350,446.72
  5. Step 5: Solve for x
    x = 125,669,350,446.72/406,098.80
  6. Step 6: Final answer
    x = 309,455.11

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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.