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Finding the Fourth Proportional to 407,797.20, 611,695.80 and 388,114.20

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Solution

The fourth proportional to 407,797.20, 611,695.80 and 388,114.20 is: 582,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,797.20 : 611,695.80 = 388,114.20 : x
  2. Step 2: Convert to fraction form
    407,797.20/611,695.80 = 388,114.20/x
  3. Step 3: Cross multiply
    407,797.20x = 611,695.80 × 388,114.20
  4. Step 4: Simplify right side
    407,797.20x = 237,407,826,060.36
  5. Step 5: Solve for x
    x = 237,407,826,060.36/407,797.20
  6. Step 6: Final answer
    x = 582,171.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.