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Finding the Fourth Proportional to 538,344.80, 806,520.90 and 313,812.80

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Solution

The fourth proportional to 538,344.80, 806,520.90 and 313,812.80 is: 470,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,344.80 : 806,520.90 = 313,812.80 : x
  2. Step 2: Convert to fraction form
    538,344.80/806,520.90 = 313,812.80/x
  3. Step 3: Cross multiply
    538,344.80x = 806,520.90 × 313,812.80
  4. Step 4: Simplify right side
    538,344.80x = 253,096,581,887.52
  5. Step 5: Solve for x
    x = 253,096,581,887.52/538,344.80
  6. Step 6: Final answer
    x = 470,138.44

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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.