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Finding the Fourth Proportional to 287,791.95, 431,441.76 and 110,426.25

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Solution

The fourth proportional to 287,791.95, 431,441.76 and 110,426.25 is: 165,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,791.95 : 431,441.76 = 110,426.25 : x
  2. Step 2: Convert to fraction form
    287,791.95/431,441.76 = 110,426.25/x
  3. Step 3: Cross multiply
    287,791.95x = 431,441.76 × 110,426.25
  4. Step 4: Simplify right side
    287,791.95x = 47,642,495,650.20
  5. Step 5: Solve for x
    x = 47,642,495,650.20/287,791.95
  6. Step 6: Final answer
    x = 165,544.92

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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.