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Finding the Fourth Proportional to 218,981.60, 328,083.60 and 204,984.80

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Solution

The fourth proportional to 218,981.60, 328,083.60 and 204,984.80 is: 307,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,981.60 : 328,083.60 = 204,984.80 : x
  2. Step 2: Convert to fraction form
    218,981.60/328,083.60 = 204,984.80/x
  3. Step 3: Cross multiply
    218,981.60x = 328,083.60 × 204,984.80
  4. Step 4: Simplify right side
    218,981.60x = 67,252,151,129.28
  5. Step 5: Solve for x
    x = 67,252,151,129.28/218,981.60
  6. Step 6: Final answer
    x = 307,113.25

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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.