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Finding the Fourth Proportional to 283,523.20, 424,701.60 and 143,360.80

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Solution

The fourth proportional to 283,523.20, 424,701.60 and 143,360.80 is: 214,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,523.20 : 424,701.60 = 143,360.80 : x
  2. Step 2: Convert to fraction form
    283,523.20/424,701.60 = 143,360.80/x
  3. Step 3: Cross multiply
    283,523.20x = 424,701.60 × 143,360.80
  4. Step 4: Simplify right side
    283,523.20x = 60,885,561,137.28
  5. Step 5: Solve for x
    x = 60,885,561,137.28/283,523.20
  6. Step 6: Final answer
    x = 214,746.31

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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.