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Finding the Fourth Proportional to 221,712.80, 332,569.20 and 209,465.60

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Solution

The fourth proportional to 221,712.80, 332,569.20 and 209,465.60 is: 314,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712.80 : 332,569.20 = 209,465.60 : x
  2. Step 2: Convert to fraction form
    221,712.80/332,569.20 = 209,465.60/x
  3. Step 3: Cross multiply
    221,712.80x = 332,569.20 × 209,465.60
  4. Step 4: Simplify right side
    221,712.80x = 69,661,807,019.52
  5. Step 5: Solve for x
    x = 69,661,807,019.52/221,712.80
  6. Step 6: Final answer
    x = 314,198.40

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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.