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Finding the Fourth Proportional to 218,953.35, 328,401.78 and 69,208.78

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Solution

The fourth proportional to 218,953.35, 328,401.78 and 69,208.78 is: 103,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,953.35 : 328,401.78 = 69,208.78 : x
  2. Step 2: Convert to fraction form
    218,953.35/328,401.78 = 69,208.78/x
  3. Step 3: Cross multiply
    218,953.35x = 328,401.78 × 69,208.78
  4. Step 4: Simplify right side
    218,953.35x = 22,728,286,370.82
  5. Step 5: Solve for x
    x = 22,728,286,370.82/218,953.35
  6. Step 6: Final answer
    x = 103,804.24

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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.