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Finding the Fourth Proportional to 342,393, 513,822.78 and 120,777

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Solution

The fourth proportional to 342,393, 513,822.78 and 120,777 is: 181,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,393 : 513,822.78 = 120,777 : x
  2. Step 2: Convert to fraction form
    342,393/513,822.78 = 120,777/x
  3. Step 3: Cross multiply
    342,393x = 513,822.78 × 120,777
  4. Step 4: Simplify right side
    342,393x = 62,057,973,900.06
  5. Step 5: Solve for x
    x = 62,057,973,900.06/342,393
  6. Step 6: Final answer
    x = 181,247.79

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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.