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Finding the Fourth Proportional to 349,404.60, 523,847.70 and 149,561.40

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Solution

The fourth proportional to 349,404.60, 523,847.70 and 149,561.40 is: 224,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,404.60 : 523,847.70 = 149,561.40 : x
  2. Step 2: Convert to fraction form
    349,404.60/523,847.70 = 149,561.40/x
  3. Step 3: Cross multiply
    349,404.60x = 523,847.70 × 149,561.40
  4. Step 4: Simplify right side
    349,404.60x = 78,347,395,398.78
  5. Step 5: Solve for x
    x = 78,347,395,398.78/349,404.60
  6. Step 6: Final answer
    x = 224,231.15

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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.