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Finding the Fourth Proportional to 406,397.52, 609,970.50 and 206,860.50

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Solution

The fourth proportional to 406,397.52, 609,970.50 and 206,860.50 is: 310,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.52 : 609,970.50 = 206,860.50 : x
  2. Step 2: Convert to fraction form
    406,397.52/609,970.50 = 206,860.50/x
  3. Step 3: Cross multiply
    406,397.52x = 609,970.50 × 206,860.50
  4. Step 4: Simplify right side
    406,397.52x = 126,178,802,615.25
  5. Step 5: Solve for x
    x = 126,178,802,615.25/406,397.52
  6. Step 6: Final answer
    x = 310,481.23

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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.