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Finding the Fourth Proportional to 406,345.92, 609,616.20 and 169,556.88

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Solution

The fourth proportional to 406,345.92, 609,616.20 and 169,556.88 is: 254,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,345.92 : 609,616.20 = 169,556.88 : x
  2. Step 2: Convert to fraction form
    406,345.92/609,616.20 = 169,556.88/x
  3. Step 3: Cross multiply
    406,345.92x = 609,616.20 × 169,556.88
  4. Step 4: Simplify right side
    406,345.92x = 103,364,620,869.46
  5. Step 5: Solve for x
    x = 103,364,620,869.46/406,345.92
  6. Step 6: Final answer
    x = 254,375.93

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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.