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Finding the Fourth Proportional to 264,334.80, 396,502.20 and 77,346.30

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Solution

The fourth proportional to 264,334.80, 396,502.20 and 77,346.30 is: 116,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,334.80 : 396,502.20 = 77,346.30 : x
  2. Step 2: Convert to fraction form
    264,334.80/396,502.20 = 77,346.30/x
  3. Step 3: Cross multiply
    264,334.80x = 396,502.20 × 77,346.30
  4. Step 4: Simplify right side
    264,334.80x = 30,667,978,111.86
  5. Step 5: Solve for x
    x = 30,667,978,111.86/264,334.80
  6. Step 6: Final answer
    x = 116,019.45

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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.