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Finding the Fourth Proportional to 408,445.60, 613,129.20 and 242,327.20

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Solution

The fourth proportional to 408,445.60, 613,129.20 and 242,327.20 is: 363,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,445.60 : 613,129.20 = 242,327.20 : x
  2. Step 2: Convert to fraction form
    408,445.60/613,129.20 = 242,327.20/x
  3. Step 3: Cross multiply
    408,445.60x = 613,129.20 × 242,327.20
  4. Step 4: Simplify right side
    408,445.60x = 148,577,882,274.24
  5. Step 5: Solve for x
    x = 148,577,882,274.24/408,445.60
  6. Step 6: Final answer
    x = 363,764.19

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1.5x scale

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.