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Finding the Fourth Proportional to 218,971.60, 328,429.04 and 69,227

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Solution

The fourth proportional to 218,971.60, 328,429.04 and 69,227 is: 103,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.60 : 328,429.04 = 69,227 : x
  2. Step 2: Convert to fraction form
    218,971.60/328,429.04 = 69,227/x
  3. Step 3: Cross multiply
    218,971.60x = 328,429.04 × 69,227
  4. Step 4: Simplify right side
    218,971.60x = 22,736,157,152.08
  5. Step 5: Solve for x
    x = 22,736,157,152.08/218,971.60
  6. Step 6: Final answer
    x = 103,831.53

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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.