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Finding the Fourth Proportional to 256,548.96, 354,035.16 and 141,830.55

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Solution

The fourth proportional to 256,548.96, 354,035.16 and 141,830.55 is: 195,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,548.96 : 354,035.16 = 141,830.55 : x
  2. Step 2: Convert to fraction form
    256,548.96/354,035.16 = 141,830.55/x
  3. Step 3: Cross multiply
    256,548.96x = 354,035.16 × 141,830.55
  4. Step 4: Simplify right side
    256,548.96x = 50,213,001,462.14
  5. Step 5: Solve for x
    x = 50,213,001,462.14/256,548.96
  6. Step 6: Final answer
    x = 195,724.83

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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.