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Finding the Fourth Proportional to 408,643.20, 613,425.60 and 315,561.60

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Solution

The fourth proportional to 408,643.20, 613,425.60 and 315,561.60 is: 473,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,643.20 : 613,425.60 = 315,561.60 : x
  2. Step 2: Convert to fraction form
    408,643.20/613,425.60 = 315,561.60/x
  3. Step 3: Cross multiply
    408,643.20x = 613,425.60 × 315,561.60
  4. Step 4: Simplify right side
    408,643.20x = 193,573,563,816.96
  5. Step 5: Solve for x
    x = 193,573,563,816.96/408,643.20
  6. Step 6: Final answer
    x = 473,698.24

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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.