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Finding the Fourth Proportional to 386,900.70, 580,670.85 and 197,500.98

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Solution

The fourth proportional to 386,900.70, 580,670.85 and 197,500.98 is: 296,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,900.70 : 580,670.85 = 197,500.98 : x
  2. Step 2: Convert to fraction form
    386,900.70/580,670.85 = 197,500.98/x
  3. Step 3: Cross multiply
    386,900.70x = 580,670.85 × 197,500.98
  4. Step 4: Simplify right side
    386,900.70x = 114,683,061,932.43
  5. Step 5: Solve for x
    x = 114,683,061,932.43/386,900.70
  6. Step 6: Final answer
    x = 296,414.72

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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.