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Finding the Fourth Proportional to 256,934.40, 385,286.40 and 99,110.40

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Solution

The fourth proportional to 256,934.40, 385,286.40 and 99,110.40 is: 148,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,934.40 : 385,286.40 = 99,110.40 : x
  2. Step 2: Convert to fraction form
    256,934.40/385,286.40 = 99,110.40/x
  3. Step 3: Cross multiply
    256,934.40x = 385,286.40 × 99,110.40
  4. Step 4: Simplify right side
    256,934.40x = 38,185,889,218.56
  5. Step 5: Solve for x
    x = 38,185,889,218.56/256,934.40
  6. Step 6: Final answer
    x = 148,621.16

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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.