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Finding the Fourth Proportional to 506,149.60, 698,453.22 and 291,255

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Solution

The fourth proportional to 506,149.60, 698,453.22 and 291,255 is: 401,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,149.60 : 698,453.22 = 291,255 : x
  2. Step 2: Convert to fraction form
    506,149.60/698,453.22 = 291,255/x
  3. Step 3: Cross multiply
    506,149.60x = 698,453.22 × 291,255
  4. Step 4: Simplify right side
    506,149.60x = 203,427,992,591.10
  5. Step 5: Solve for x
    x = 203,427,992,591.10/506,149.60
  6. Step 6: Final answer
    x = 401,912.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.