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Finding the Fourth Proportional to 386,475.86, 579,122.59 and 206,586.87

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Solution

The fourth proportional to 386,475.86, 579,122.59 and 206,586.87 is: 309,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,475.86 : 579,122.59 = 206,586.87 : x
  2. Step 2: Convert to fraction form
    386,475.86/579,122.59 = 206,586.87/x
  3. Step 3: Cross multiply
    386,475.86x = 579,122.59 × 206,586.87
  4. Step 4: Simplify right side
    386,475.86x = 119,639,123,214.39
  5. Step 5: Solve for x
    x = 119,639,123,214.39/386,475.86
  6. Step 6: Final answer
    x = 309,564.28

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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.