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Finding the Fourth Proportional to 256,872.40, 385,418.86 and 99,211.57

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Solution

The fourth proportional to 256,872.40, 385,418.86 and 99,211.57 is: 148,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,872.40 : 385,418.86 = 99,211.57 : x
  2. Step 2: Convert to fraction form
    256,872.40/385,418.86 = 99,211.57/x
  3. Step 3: Cross multiply
    256,872.40x = 385,418.86 × 99,211.57
  4. Step 4: Simplify right side
    256,872.40x = 38,238,008,996.63
  5. Step 5: Solve for x
    x = 38,238,008,996.63/256,872.40
  6. Step 6: Final answer
    x = 148,859.94

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1.5x scale

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.