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Finding the Fourth Proportional to 406,406.52, 609,984 and 206,869.50

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Solution

The fourth proportional to 406,406.52, 609,984 and 206,869.50 is: 310,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,406.52 : 609,984 = 206,869.50 : x
  2. Step 2: Convert to fraction form
    406,406.52/609,984 = 206,869.50/x
  3. Step 3: Cross multiply
    406,406.52x = 609,984 × 206,869.50
  4. Step 4: Simplify right side
    406,406.52x = 126,187,085,088
  5. Step 5: Solve for x
    x = 126,187,085,088/406,406.52
  6. Step 6: Final answer
    x = 310,494.74

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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.