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Finding the Fourth Proportional to 342,416.32, 513,624.05 and 137,343.55

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Solution

The fourth proportional to 342,416.32, 513,624.05 and 137,343.55 is: 206,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,416.32 : 513,624.05 = 137,343.55 : x
  2. Step 2: Convert to fraction form
    342,416.32/513,624.05 = 137,343.55/x
  3. Step 3: Cross multiply
    342,416.32x = 513,624.05 × 137,343.55
  4. Step 4: Simplify right side
    342,416.32x = 70,542,950,092.82
  5. Step 5: Solve for x
    x = 70,542,950,092.82/342,416.32
  6. Step 6: Final answer
    x = 206,015.15

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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.