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Finding the Fourth Proportional to 287,760.26, 431,679.78 and 98,169.72

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Solution

The fourth proportional to 287,760.26, 431,679.78 and 98,169.72 is: 147,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760.26 : 431,679.78 = 98,169.72 : x
  2. Step 2: Convert to fraction form
    287,760.26/431,679.78 = 98,169.72/x
  3. Step 3: Cross multiply
    287,760.26x = 431,679.78 × 98,169.72
  4. Step 4: Simplify right side
    287,760.26x = 42,377,883,941.66
  5. Step 5: Solve for x
    x = 42,377,883,941.66/287,760.26
  6. Step 6: Final answer
    x = 147,268.02

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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.