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Finding the Fourth Proportional to 349,874.60, 524,811.90 and 329,138.60

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Solution

The fourth proportional to 349,874.60, 524,811.90 and 329,138.60 is: 493,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,874.60 : 524,811.90 = 329,138.60 : x
  2. Step 2: Convert to fraction form
    349,874.60/524,811.90 = 329,138.60/x
  3. Step 3: Cross multiply
    349,874.60x = 524,811.90 × 329,138.60
  4. Step 4: Simplify right side
    349,874.60x = 172,735,854,029.34
  5. Step 5: Solve for x
    x = 172,735,854,029.34/349,874.60
  6. Step 6: Final answer
    x = 493,707.90

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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.