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Finding the Fourth Proportional to 386,847.90, 533,814.39 and 217,050.78

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Solution

The fourth proportional to 386,847.90, 533,814.39 and 217,050.78 is: 299,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,847.90 : 533,814.39 = 217,050.78 : x
  2. Step 2: Convert to fraction form
    386,847.90/533,814.39 = 217,050.78/x
  3. Step 3: Cross multiply
    386,847.90x = 533,814.39 × 217,050.78
  4. Step 4: Simplify right side
    386,847.90x = 115,864,829,724.72
  5. Step 5: Solve for x
    x = 115,864,829,724.72/386,847.90
  6. Step 6: Final answer
    x = 299,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.