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Finding the Fourth Proportional to 256,567.29, 354,052.42 and 141,838.64

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Solution

The fourth proportional to 256,567.29, 354,052.42 and 141,838.64 is: 195,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,567.29 : 354,052.42 = 141,838.64 : x
  2. Step 2: Convert to fraction form
    256,567.29/354,052.42 = 141,838.64/x
  3. Step 3: Cross multiply
    256,567.29x = 354,052.42 × 141,838.64
  4. Step 4: Simplify right side
    256,567.29x = 50,218,311,616.65
  5. Step 5: Solve for x
    x = 50,218,311,616.65/256,567.29
  6. Step 6: Final answer
    x = 195,731.54

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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.