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Finding the Fourth Proportional to 283,486.64, 425,227.20 and 83,810.78

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Solution

The fourth proportional to 283,486.64, 425,227.20 and 83,810.78 is: 125,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,486.64 : 425,227.20 = 83,810.78 : x
  2. Step 2: Convert to fraction form
    283,486.64/425,227.20 = 83,810.78/x
  3. Step 3: Cross multiply
    283,486.64x = 425,227.20 × 83,810.78
  4. Step 4: Simplify right side
    283,486.64x = 35,638,623,309.22
  5. Step 5: Solve for x
    x = 35,638,623,309.22/283,486.64
  6. Step 6: Final answer
    x = 125,715.35

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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.