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Finding the Fourth Proportional to 418,932.81, 578,129.81 and 227,947.37

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Solution

The fourth proportional to 418,932.81, 578,129.81 and 227,947.37 is: 314,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,932.81 : 578,129.81 = 227,947.37 : x
  2. Step 2: Convert to fraction form
    418,932.81/578,129.81 = 227,947.37/x
  3. Step 3: Cross multiply
    418,932.81x = 578,129.81 × 227,947.37
  4. Step 4: Simplify right side
    418,932.81x = 131,783,165,677.71
  5. Step 5: Solve for x
    x = 131,783,165,677.71/418,932.81
  6. Step 6: Final answer
    x = 314,568.74

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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.