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Finding the Fourth Proportional to 265,611.30, 397,760.85 and 197,981.16

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Solution

The fourth proportional to 265,611.30, 397,760.85 and 197,981.16 is: 296,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,611.30 : 397,760.85 = 197,981.16 : x
  2. Step 2: Convert to fraction form
    265,611.30/397,760.85 = 197,981.16/x
  3. Step 3: Cross multiply
    265,611.30x = 397,760.85 × 197,981.16
  4. Step 4: Simplify right side
    265,611.30x = 78,749,154,485.59
  5. Step 5: Solve for x
    x = 78,749,154,485.59/265,611.30
  6. Step 6: Final answer
    x = 296,482.70

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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.