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Finding the Fourth Proportional to 256,868.94, 385,414.18 and 99,208.12

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Solution

The fourth proportional to 256,868.94, 385,414.18 and 99,208.12 is: 148,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,868.94 : 385,414.18 = 99,208.12 : x
  2. Step 2: Convert to fraction form
    256,868.94/385,414.18 = 99,208.12/x
  3. Step 3: Cross multiply
    256,868.94x = 385,414.18 × 99,208.12
  4. Step 4: Simplify right side
    256,868.94x = 38,236,216,219.14
  5. Step 5: Solve for x
    x = 38,236,216,219.14/256,868.94
  6. Step 6: Final answer
    x = 148,854.96

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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.