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Finding the Fourth Proportional to 418,420.32, 577,418.40 and 227,433.12

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Solution

The fourth proportional to 418,420.32, 577,418.40 and 227,433.12 is: 313,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,420.32 : 577,418.40 = 227,433.12 : x
  2. Step 2: Convert to fraction form
    418,420.32/577,418.40 = 227,433.12/x
  3. Step 3: Cross multiply
    418,420.32x = 577,418.40 × 227,433.12
  4. Step 4: Simplify right side
    418,420.32x = 131,324,068,257.41
  5. Step 5: Solve for x
    x = 131,324,068,257.41/418,420.32
  6. Step 6: Final answer
    x = 313,856.81

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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.