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Finding the Fourth Proportional to 406,511.80, 609,767.70 and 126,057.40

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Solution

The fourth proportional to 406,511.80, 609,767.70 and 126,057.40 is: 189,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,511.80 : 609,767.70 = 126,057.40 : x
  2. Step 2: Convert to fraction form
    406,511.80/609,767.70 = 126,057.40/x
  3. Step 3: Cross multiply
    406,511.80x = 609,767.70 × 126,057.40
  4. Step 4: Simplify right side
    406,511.80x = 76,865,730,865.98
  5. Step 5: Solve for x
    x = 76,865,730,865.98/406,511.80
  6. Step 6: Final answer
    x = 189,086.10

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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.