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Finding the Fourth Proportional to 342,468, 513,703.62 and 120,852

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Solution

The fourth proportional to 342,468, 513,703.62 and 120,852 is: 181,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,468 : 513,703.62 = 120,852 : x
  2. Step 2: Convert to fraction form
    342,468/513,703.62 = 120,852/x
  3. Step 3: Cross multiply
    342,468x = 513,703.62 × 120,852
  4. Step 4: Simplify right side
    342,468x = 62,082,109,884.24
  5. Step 5: Solve for x
    x = 62,082,109,884.24/342,468
  6. Step 6: Final answer
    x = 181,278.57

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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.