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Finding the Fourth Proportional to 287,716.79, 431,637.46 and 110,223.80

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Solution

The fourth proportional to 287,716.79, 431,637.46 and 110,223.80 is: 165,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,716.79 : 431,637.46 = 110,223.80 : x
  2. Step 2: Convert to fraction form
    287,716.79/431,637.46 = 110,223.80/x
  3. Step 3: Cross multiply
    287,716.79x = 431,637.46 × 110,223.80
  4. Step 4: Simplify right side
    287,716.79x = 47,576,721,476.89
  5. Step 5: Solve for x
    x = 47,576,721,476.89/287,716.79
  6. Step 6: Final answer
    x = 165,359.56

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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.