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Finding the Fourth Proportional to 283,308.64, 425,009.12 and 83,649.21

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Solution

The fourth proportional to 283,308.64, 425,009.12 and 83,649.21 is: 125,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,308.64 : 425,009.12 = 83,649.21 : x
  2. Step 2: Convert to fraction form
    283,308.64/425,009.12 = 83,649.21/x
  3. Step 3: Cross multiply
    283,308.64x = 425,009.12 × 83,649.21
  4. Step 4: Simplify right side
    283,308.64x = 35,551,677,235.36
  5. Step 5: Solve for x
    x = 35,551,677,235.36/283,308.64
  6. Step 6: Final answer
    x = 125,487.44

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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.