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Finding the Fourth Proportional to 256,021.34, 383,913.14 and 149,436.07

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Solution

The fourth proportional to 256,021.34, 383,913.14 and 149,436.07 is: 224,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.34 : 383,913.14 = 149,436.07 : x
  2. Step 2: Convert to fraction form
    256,021.34/383,913.14 = 149,436.07/x
  3. Step 3: Cross multiply
    256,021.34x = 383,913.14 × 149,436.07
  4. Step 4: Simplify right side
    256,021.34x = 57,370,469,156.00
  5. Step 5: Solve for x
    x = 57,370,469,156.00/256,021.34
  6. Step 6: Final answer
    x = 224,084.72

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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.