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Finding the Fourth Proportional to 342,394, 513,824.28 and 120,778

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Solution

The fourth proportional to 342,394, 513,824.28 and 120,778 is: 181,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,394 : 513,824.28 = 120,778 : x
  2. Step 2: Convert to fraction form
    342,394/513,824.28 = 120,778/x
  3. Step 3: Cross multiply
    342,394x = 513,824.28 × 120,778
  4. Step 4: Simplify right side
    342,394x = 62,058,668,889.84
  5. Step 5: Solve for x
    x = 62,058,668,889.84/342,394
  6. Step 6: Final answer
    x = 181,249.29

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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.