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Finding the Fourth Proportional to 343,878.20, 515,663.70 and 133,446.20

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Solution

The fourth proportional to 343,878.20, 515,663.70 and 133,446.20 is: 200,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,878.20 : 515,663.70 = 133,446.20 : x
  2. Step 2: Convert to fraction form
    343,878.20/515,663.70 = 133,446.20/x
  3. Step 3: Cross multiply
    343,878.20x = 515,663.70 × 133,446.20
  4. Step 4: Simplify right side
    343,878.20x = 68,813,361,242.94
  5. Step 5: Solve for x
    x = 68,813,361,242.94/343,878.20
  6. Step 6: Final answer
    x = 200,109.69

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1.5x scale

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.