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Finding the Fourth Proportional to 283,563.20, 425,320.80 and 86,571.20

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Solution

The fourth proportional to 283,563.20, 425,320.80 and 86,571.20 is: 129,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,563.20 : 425,320.80 = 86,571.20 : x
  2. Step 2: Convert to fraction form
    283,563.20/425,320.80 = 86,571.20/x
  3. Step 3: Cross multiply
    283,563.20x = 425,320.80 × 86,571.20
  4. Step 4: Simplify right side
    283,563.20x = 36,820,532,040.96
  5. Step 5: Solve for x
    x = 36,820,532,040.96/283,563.20
  6. Step 6: Final answer
    x = 129,849.47

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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.