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Finding the Fourth Proportional to 408,821.32, 564,192 and 227,544.86

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Solution

The fourth proportional to 408,821.32, 564,192 and 227,544.86 is: 314,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,821.32 : 564,192 = 227,544.86 : x
  2. Step 2: Convert to fraction form
    408,821.32/564,192 = 227,544.86/x
  3. Step 3: Cross multiply
    408,821.32x = 564,192 × 227,544.86
  4. Step 4: Simplify right side
    408,821.32x = 128,378,989,653.12
  5. Step 5: Solve for x
    x = 128,378,989,653.12/408,821.32
  6. Step 6: Final answer
    x = 314,022.25

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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.