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Finding the Fourth Proportional to 349,742.60, 523,404.30 and 209,601.80

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Solution

The fourth proportional to 349,742.60, 523,404.30 and 209,601.80 is: 313,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,742.60 : 523,404.30 = 209,601.80 : x
  2. Step 2: Convert to fraction form
    349,742.60/523,404.30 = 209,601.80/x
  3. Step 3: Cross multiply
    349,742.60x = 523,404.30 × 209,601.80
  4. Step 4: Simplify right side
    349,742.60x = 109,706,483,407.74
  5. Step 5: Solve for x
    x = 109,706,483,407.74/349,742.60
  6. Step 6: Final answer
    x = 313,677.78

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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.