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Finding the Fourth Proportional to 256,062.47, 383,876.81 and 106,209.23

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Solution

The fourth proportional to 256,062.47, 383,876.81 and 106,209.23 is: 159,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,062.47 : 383,876.81 = 106,209.23 : x
  2. Step 2: Convert to fraction form
    256,062.47/383,876.81 = 106,209.23/x
  3. Step 3: Cross multiply
    256,062.47x = 383,876.81 × 106,209.23
  4. Step 4: Simplify right side
    256,062.47x = 40,771,258,485.57
  5. Step 5: Solve for x
    x = 40,771,258,485.57/256,062.47
  6. Step 6: Final answer
    x = 159,223.88

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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.