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Finding the Fourth Proportional to 208,997.28, 313,495.92 and 146,944.80

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Solution

The fourth proportional to 208,997.28, 313,495.92 and 146,944.80 is: 220,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,997.28 : 313,495.92 = 146,944.80 : x
  2. Step 2: Convert to fraction form
    208,997.28/313,495.92 = 146,944.80/x
  3. Step 3: Cross multiply
    208,997.28x = 313,495.92 × 146,944.80
  4. Step 4: Simplify right side
    208,997.28x = 46,066,595,265.22
  5. Step 5: Solve for x
    x = 46,066,595,265.22/208,997.28
  6. Step 6: Final answer
    x = 220,417.20

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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.