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Finding the Fourth Proportional to 256,346.67, 353,747.71 and 147,442.73

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Solution

The fourth proportional to 256,346.67, 353,747.71 and 147,442.73 is: 203,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,346.67 : 353,747.71 = 147,442.73 : x
  2. Step 2: Convert to fraction form
    256,346.67/353,747.71 = 147,442.73/x
  3. Step 3: Cross multiply
    256,346.67x = 353,747.71 × 147,442.73
  4. Step 4: Simplify right side
    256,346.67x = 52,157,527,669.68
  5. Step 5: Solve for x
    x = 52,157,527,669.68/256,346.67
  6. Step 6: Final answer
    x = 203,464.81

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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.