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Finding the Fourth Proportional to 221,870.88, 331,818.12 and 197,071.92

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Solution

The fourth proportional to 221,870.88, 331,818.12 and 197,071.92 is: 294,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,870.88 : 331,818.12 = 197,071.92 : x
  2. Step 2: Convert to fraction form
    221,870.88/331,818.12 = 197,071.92/x
  3. Step 3: Cross multiply
    221,870.88x = 331,818.12 × 197,071.92
  4. Step 4: Simplify right side
    221,870.88x = 65,392,033,999.19
  5. Step 5: Solve for x
    x = 65,392,033,999.19/221,870.88
  6. Step 6: Final answer
    x = 294,730.13

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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.