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Finding the Fourth Proportional to 432,998.87, 649,332.25 and 148,636.42

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Solution

The fourth proportional to 432,998.87, 649,332.25 and 148,636.42 is: 222,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,998.87 : 649,332.25 = 148,636.42 : x
  2. Step 2: Convert to fraction form
    432,998.87/649,332.25 = 148,636.42/x
  3. Step 3: Cross multiply
    432,998.87x = 649,332.25 × 148,636.42
  4. Step 4: Simplify right side
    432,998.87x = 96,514,419,035.62
  5. Step 5: Solve for x
    x = 96,514,419,035.62/432,998.87
  6. Step 6: Final answer
    x = 222,897.63

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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.