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Finding the Fourth Proportional to 218,933.78, 328,445.15 and 69,197.46

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Solution

The fourth proportional to 218,933.78, 328,445.15 and 69,197.46 is: 103,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,933.78 : 328,445.15 = 69,197.46 : x
  2. Step 2: Convert to fraction form
    218,933.78/328,445.15 = 69,197.46/x
  3. Step 3: Cross multiply
    218,933.78x = 328,445.15 × 69,197.46
  4. Step 4: Simplify right side
    218,933.78x = 22,727,570,129.32
  5. Step 5: Solve for x
    x = 22,727,570,129.32/218,933.78
  6. Step 6: Final answer
    x = 103,810.25

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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.