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Finding the Fourth Proportional to 205,643.70, 308,926.35 and 197,246.90

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Solution

The fourth proportional to 205,643.70, 308,926.35 and 197,246.90 is: 296,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643.70 : 308,926.35 = 197,246.90 : x
  2. Step 2: Convert to fraction form
    205,643.70/308,926.35 = 197,246.90/x
  3. Step 3: Cross multiply
    205,643.70x = 308,926.35 × 197,246.90
  4. Step 4: Simplify right side
    205,643.70x = 60,934,764,865.82
  5. Step 5: Solve for x
    x = 60,934,764,865.82/205,643.70
  6. Step 6: Final answer
    x = 296,312.33

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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.