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Finding the Fourth Proportional to 418,352.65, 577,331.13 and 227,366.05

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Solution

The fourth proportional to 418,352.65, 577,331.13 and 227,366.05 is: 313,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,352.65 : 577,331.13 = 227,366.05 : x
  2. Step 2: Convert to fraction form
    418,352.65/577,331.13 = 227,366.05/x
  3. Step 3: Cross multiply
    418,352.65x = 577,331.13 × 227,366.05
  4. Step 4: Simplify right side
    418,352.65x = 131,265,498,570.14
  5. Step 5: Solve for x
    x = 131,265,498,570.14/418,352.65
  6. Step 6: Final answer
    x = 313,767.58

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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.