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Finding the Fourth Proportional to 288,633.47, 397,895.15 and 202,323.51

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Solution

The fourth proportional to 288,633.47, 397,895.15 and 202,323.51 is: 278,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,633.47 : 397,895.15 = 202,323.51 : x
  2. Step 2: Convert to fraction form
    288,633.47/397,895.15 = 202,323.51/x
  3. Step 3: Cross multiply
    288,633.47x = 397,895.15 × 202,323.51
  4. Step 4: Simplify right side
    288,633.47x = 80,503,543,865.79
  5. Step 5: Solve for x
    x = 80,503,543,865.79/288,633.47
  6. Step 6: Final answer
    x = 278,912.72

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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.