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Finding the Fourth Proportional to 283,658.40, 425,487.60 and 158,983.20

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Solution

The fourth proportional to 283,658.40, 425,487.60 and 158,983.20 is: 238,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,658.40 : 425,487.60 = 158,983.20 : x
  2. Step 2: Convert to fraction form
    283,658.40/425,487.60 = 158,983.20/x
  3. Step 3: Cross multiply
    283,658.40x = 425,487.60 × 158,983.20
  4. Step 4: Simplify right side
    283,658.40x = 67,645,380,208.32
  5. Step 5: Solve for x
    x = 67,645,380,208.32/283,658.40
  6. Step 6: Final answer
    x = 238,474.80

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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.