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Finding the Fourth Proportional to 305,998, 422,316.84 and 171,862

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Solution

The fourth proportional to 305,998, 422,316.84 and 171,862 is: 237,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,998 : 422,316.84 = 171,862 : x
  2. Step 2: Convert to fraction form
    305,998/422,316.84 = 171,862/x
  3. Step 3: Cross multiply
    305,998x = 422,316.84 × 171,862
  4. Step 4: Simplify right side
    305,998x = 72,580,216,756.08
  5. Step 5: Solve for x
    x = 72,580,216,756.08/305,998
  6. Step 6: Final answer
    x = 237,191.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.