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Finding the Fourth Proportional to 259,223.46, 388,822.20 and 101,480.82

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Solution

The fourth proportional to 259,223.46, 388,822.20 and 101,480.82 is: 152,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,223.46 : 388,822.20 = 101,480.82 : x
  2. Step 2: Convert to fraction form
    259,223.46/388,822.20 = 101,480.82/x
  3. Step 3: Cross multiply
    259,223.46x = 388,822.20 × 101,480.82
  4. Step 4: Simplify right side
    259,223.46x = 39,457,995,690.20
  5. Step 5: Solve for x
    x = 39,457,995,690.20/259,223.46
  6. Step 6: Final answer
    x = 152,216.14

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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.