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Finding the Fourth Proportional to 221,700.19, 303,730.39 and 213,397.65

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Solution

The fourth proportional to 221,700.19, 303,730.39 and 213,397.65 is: 292,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,700.19 : 303,730.39 = 213,397.65 : x
  2. Step 2: Convert to fraction form
    221,700.19/303,730.39 = 213,397.65/x
  3. Step 3: Cross multiply
    221,700.19x = 303,730.39 × 213,397.65
  4. Step 4: Simplify right side
    221,700.19x = 64,815,351,459.58
  5. Step 5: Solve for x
    x = 64,815,351,459.58/221,700.19
  6. Step 6: Final answer
    x = 292,355.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.