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Finding the Fourth Proportional to 342,161.86, 513,330.24 and 142,415.86

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Solution

The fourth proportional to 342,161.86, 513,330.24 and 142,415.86 is: 213,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,161.86 : 513,330.24 = 142,415.86 : x
  2. Step 2: Convert to fraction form
    342,161.86/513,330.24 = 142,415.86/x
  3. Step 3: Cross multiply
    342,161.86x = 513,330.24 × 142,415.86
  4. Step 4: Simplify right side
    342,161.86x = 73,106,367,593.61
  5. Step 5: Solve for x
    x = 73,106,367,593.61/342,161.86
  6. Step 6: Final answer
    x = 213,660.19

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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.