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Finding the Fourth Proportional to 418,353.16, 577,331.82 and 227,366.56

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Solution

The fourth proportional to 418,353.16, 577,331.82 and 227,366.56 is: 313,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,353.16 : 577,331.82 = 227,366.56 : x
  2. Step 2: Convert to fraction form
    418,353.16/577,331.82 = 227,366.56/x
  3. Step 3: Cross multiply
    418,353.16x = 577,331.82 × 227,366.56
  4. Step 4: Simplify right side
    418,353.16x = 131,265,949,891.94
  5. Step 5: Solve for x
    x = 131,265,949,891.94/418,353.16
  6. Step 6: Final answer
    x = 313,768.28

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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.