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Finding the Fourth Proportional to 386,103.56, 578,650.94 and 215,318.46

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Solution

The fourth proportional to 386,103.56, 578,650.94 and 215,318.46 is: 322,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,103.56 : 578,650.94 = 215,318.46 : x
  2. Step 2: Convert to fraction form
    386,103.56/578,650.94 = 215,318.46/x
  3. Step 3: Cross multiply
    386,103.56x = 578,650.94 × 215,318.46
  4. Step 4: Simplify right side
    386,103.56x = 124,594,226,385.10
  5. Step 5: Solve for x
    x = 124,594,226,385.10/386,103.56
  6. Step 6: Final answer
    x = 322,696.39

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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.