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Finding the Fourth Proportional to 352,854, 486,938.52 and 193,878

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Solution

The fourth proportional to 352,854, 486,938.52 and 193,878 is: 267,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,854 : 486,938.52 = 193,878 : x
  2. Step 2: Convert to fraction form
    352,854/486,938.52 = 193,878/x
  3. Step 3: Cross multiply
    352,854x = 486,938.52 × 193,878
  4. Step 4: Simplify right side
    352,854x = 94,406,666,380.56
  5. Step 5: Solve for x
    x = 94,406,666,380.56/352,854
  6. Step 6: Final answer
    x = 267,551.64

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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.