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Finding the Fourth Proportional to 407,514.86, 611,243.43 and 107,988.81

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Solution

The fourth proportional to 407,514.86, 611,243.43 and 107,988.81 is: 161,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,514.86 : 611,243.43 = 107,988.81 : x
  2. Step 2: Convert to fraction form
    407,514.86/611,243.43 = 107,988.81/x
  3. Step 3: Cross multiply
    407,514.86x = 611,243.43 × 107,988.81
  4. Step 4: Simplify right side
    407,514.86x = 66,007,447,569.80
  5. Step 5: Solve for x
    x = 66,007,447,569.80/407,514.86
  6. Step 6: Final answer
    x = 161,975.56

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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.