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Finding the Fourth Proportional to 256,912.96, 384,423.36 and 155,348.80

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Solution

The fourth proportional to 256,912.96, 384,423.36 and 155,348.80 is: 232,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,912.96 : 384,423.36 = 155,348.80 : x
  2. Step 2: Convert to fraction form
    256,912.96/384,423.36 = 155,348.80/x
  3. Step 3: Cross multiply
    256,912.96x = 384,423.36 × 155,348.80
  4. Step 4: Simplify right side
    256,912.96x = 59,719,707,667.97
  5. Step 5: Solve for x
    x = 59,719,707,667.97/256,912.96
  6. Step 6: Final answer
    x = 232,451.13

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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.