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Finding the Fourth Proportional to 349,734.60, 523,392.30 and 209,593.80

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Solution

The fourth proportional to 349,734.60, 523,392.30 and 209,593.80 is: 313,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,734.60 : 523,392.30 = 209,593.80 : x
  2. Step 2: Convert to fraction form
    349,734.60/523,392.30 = 209,593.80/x
  3. Step 3: Cross multiply
    349,734.60x = 523,392.30 × 209,593.80
  4. Step 4: Simplify right side
    349,734.60x = 109,699,781,047.74
  5. Step 5: Solve for x
    x = 109,699,781,047.74/349,734.60
  6. Step 6: Final answer
    x = 313,665.79

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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.