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Finding the Fourth Proportional to 242,778.91, 335,035.34 and 135,346.78

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Solution

The fourth proportional to 242,778.91, 335,035.34 and 135,346.78 is: 186,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,778.91 : 335,035.34 = 135,346.78 : x
  2. Step 2: Convert to fraction form
    242,778.91/335,035.34 = 135,346.78/x
  3. Step 3: Cross multiply
    242,778.91x = 335,035.34 × 135,346.78
  4. Step 4: Simplify right side
    242,778.91x = 45,345,955,631.16
  5. Step 5: Solve for x
    x = 45,345,955,631.16/242,778.91
  6. Step 6: Final answer
    x = 186,778.81

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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.