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Finding the Fourth Proportional to 256,122.40, 384,529.20 and 162,810.40

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Solution

The fourth proportional to 256,122.40, 384,529.20 and 162,810.40 is: 244,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,122.40 : 384,529.20 = 162,810.40 : x
  2. Step 2: Convert to fraction form
    256,122.40/384,529.20 = 162,810.40/x
  3. Step 3: Cross multiply
    256,122.40x = 384,529.20 × 162,810.40
  4. Step 4: Simplify right side
    256,122.40x = 62,605,352,863.68
  5. Step 5: Solve for x
    x = 62,605,352,863.68/256,122.40
  6. Step 6: Final answer
    x = 244,435.29

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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.