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Finding the Fourth Proportional to 406,207.80, 609,311.70 and 399,209.40

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Solution

The fourth proportional to 406,207.80, 609,311.70 and 399,209.40 is: 598,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,207.80 : 609,311.70 = 399,209.40 : x
  2. Step 2: Convert to fraction form
    406,207.80/609,311.70 = 399,209.40/x
  3. Step 3: Cross multiply
    406,207.80x = 609,311.70 × 399,209.40
  4. Step 4: Simplify right side
    406,207.80x = 243,242,958,169.98
  5. Step 5: Solve for x
    x = 243,242,958,169.98/406,207.80
  6. Step 6: Final answer
    x = 598,814.10

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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.