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Finding the Fourth Proportional to 255,029.92, 351,984 and 147,581.44

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Solution

The fourth proportional to 255,029.92, 351,984 and 147,581.44 is: 203,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,029.92 : 351,984 = 147,581.44 : x
  2. Step 2: Convert to fraction form
    255,029.92/351,984 = 147,581.44/x
  3. Step 3: Cross multiply
    255,029.92x = 351,984 × 147,581.44
  4. Step 4: Simplify right side
    255,029.92x = 51,946,305,576.96
  5. Step 5: Solve for x
    x = 51,946,305,576.96/255,029.92
  6. Step 6: Final answer
    x = 203,687.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.