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Finding the Fourth Proportional to 418,884.62, 578,063.28 and 227,899.37

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Solution

The fourth proportional to 418,884.62, 578,063.28 and 227,899.37 is: 314,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,884.62 : 578,063.28 = 227,899.37 : x
  2. Step 2: Convert to fraction form
    418,884.62/578,063.28 = 227,899.37/x
  3. Step 3: Cross multiply
    418,884.62x = 578,063.28 × 227,899.37
  4. Step 4: Simplify right side
    418,884.62x = 131,740,259,631.91
  5. Step 5: Solve for x
    x = 131,740,259,631.91/418,884.62
  6. Step 6: Final answer
    x = 314,502.50

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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.