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Finding the Fourth Proportional to 318,098.32, 439,077.84 and 203,685

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Solution

The fourth proportional to 318,098.32, 439,077.84 and 203,685 is: 281,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,098.32 : 439,077.84 = 203,685 : x
  2. Step 2: Convert to fraction form
    318,098.32/439,077.84 = 203,685/x
  3. Step 3: Cross multiply
    318,098.32x = 439,077.84 × 203,685
  4. Step 4: Simplify right side
    318,098.32x = 89,433,569,840.40
  5. Step 5: Solve for x
    x = 89,433,569,840.40/318,098.32
  6. Step 6: Final answer
    x = 281,150.71

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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.