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Finding the Fourth Proportional to 408,884.30, 564,247.77 and 227,591.58

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Solution

The fourth proportional to 408,884.30, 564,247.77 and 227,591.58 is: 314,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,884.30 : 564,247.77 = 227,591.58 : x
  2. Step 2: Convert to fraction form
    408,884.30/564,247.77 = 227,591.58/x
  3. Step 3: Cross multiply
    408,884.30x = 564,247.77 × 227,591.58
  4. Step 4: Simplify right side
    408,884.30x = 128,418,041,485.78
  5. Step 5: Solve for x
    x = 128,418,041,485.78/408,884.30
  6. Step 6: Final answer
    x = 314,069.39

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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.