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Finding the Fourth Proportional to 342,002.30, 513,003.45 and 164,855.30

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Solution

The fourth proportional to 342,002.30, 513,003.45 and 164,855.30 is: 247,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.30 : 513,003.45 = 164,855.30 : x
  2. Step 2: Convert to fraction form
    342,002.30/513,003.45 = 164,855.30/x
  3. Step 3: Cross multiply
    342,002.30x = 513,003.45 × 164,855.30
  4. Step 4: Simplify right side
    342,002.30x = 84,571,337,650.79
  5. Step 5: Solve for x
    x = 84,571,337,650.79/342,002.30
  6. Step 6: Final answer
    x = 247,282.95

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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.