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Finding the Fourth Proportional to 283,463.20, 424,611.60 and 143,300.80

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Solution

The fourth proportional to 283,463.20, 424,611.60 and 143,300.80 is: 214,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,463.20 : 424,611.60 = 143,300.80 : x
  2. Step 2: Convert to fraction form
    283,463.20/424,611.60 = 143,300.80/x
  3. Step 3: Cross multiply
    283,463.20x = 424,611.60 × 143,300.80
  4. Step 4: Simplify right side
    283,463.20x = 60,847,181,969.28
  5. Step 5: Solve for x
    x = 60,847,181,969.28/283,463.20
  6. Step 6: Final answer
    x = 214,656.37

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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.