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Finding the Fourth Proportional to 256,021.92, 384,032.76 and 69,033.42

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Solution

The fourth proportional to 256,021.92, 384,032.76 and 69,033.42 is: 103,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.92 : 384,032.76 = 69,033.42 : x
  2. Step 2: Convert to fraction form
    256,021.92/384,032.76 = 69,033.42/x
  3. Step 3: Cross multiply
    256,021.92x = 384,032.76 × 69,033.42
  4. Step 4: Simplify right side
    256,021.92x = 26,511,094,814.84
  5. Step 5: Solve for x
    x = 26,511,094,814.84/256,021.92
  6. Step 6: Final answer
    x = 103,550.10

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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.