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Finding the Fourth Proportional to 287,718.79, 431,640.46 and 110,225.80

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Solution

The fourth proportional to 287,718.79, 431,640.46 and 110,225.80 is: 165,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,718.79 : 431,640.46 = 110,225.80 : x
  2. Step 2: Convert to fraction form
    287,718.79/431,640.46 = 110,225.80/x
  3. Step 3: Cross multiply
    287,718.79x = 431,640.46 × 110,225.80
  4. Step 4: Simplify right side
    287,718.79x = 47,577,915,015.87
  5. Step 5: Solve for x
    x = 47,577,915,015.87/287,718.79
  6. Step 6: Final answer
    x = 165,362.56

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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.