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Finding the Fourth Proportional to 406,266.80, 609,456.84 and 169,555.28

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Solution

The fourth proportional to 406,266.80, 609,456.84 and 169,555.28 is: 254,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,266.80 : 609,456.84 = 169,555.28 : x
  2. Step 2: Convert to fraction form
    406,266.80/609,456.84 = 169,555.28/x
  3. Step 3: Cross multiply
    406,266.80x = 609,456.84 × 169,555.28
  4. Step 4: Simplify right side
    406,266.80x = 103,336,625,154.12
  5. Step 5: Solve for x
    x = 103,336,625,154.12/406,266.80
  6. Step 6: Final answer
    x = 254,356.56

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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.