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Finding the Fourth Proportional to 225,249.42, 310,755.78 and 144,665.76

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Solution

The fourth proportional to 225,249.42, 310,755.78 and 144,665.76 is: 199,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,249.42 : 310,755.78 = 144,665.76 : x
  2. Step 2: Convert to fraction form
    225,249.42/310,755.78 = 144,665.76/x
  3. Step 3: Cross multiply
    225,249.42x = 310,755.78 × 144,665.76
  4. Step 4: Simplify right side
    225,249.42x = 44,955,721,088.09
  5. Step 5: Solve for x
    x = 44,955,721,088.09/225,249.42
  6. Step 6: Final answer
    x = 199,581.96

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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.