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Finding the Fourth Proportional to 408,820.74, 564,188.82 and 227,540.32

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Solution

The fourth proportional to 408,820.74, 564,188.82 and 227,540.32 is: 314,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,820.74 : 564,188.82 = 227,540.32 : x
  2. Step 2: Convert to fraction form
    408,820.74/564,188.82 = 227,540.32/x
  3. Step 3: Cross multiply
    408,820.74x = 564,188.82 × 227,540.32
  4. Step 4: Simplify right side
    408,820.74x = 128,375,704,643.22
  5. Step 5: Solve for x
    x = 128,375,704,643.22/408,820.74
  6. Step 6: Final answer
    x = 314,014.66

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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.