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Finding the Fourth Proportional to 283,564.80, 424,822.40 and 165,292.80

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Solution

The fourth proportional to 283,564.80, 424,822.40 and 165,292.80 is: 247,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,564.80 : 424,822.40 = 165,292.80 : x
  2. Step 2: Convert to fraction form
    283,564.80/424,822.40 = 165,292.80/x
  3. Step 3: Cross multiply
    283,564.80x = 424,822.40 × 165,292.80
  4. Step 4: Simplify right side
    283,564.80x = 70,220,083,998.72
  5. Step 5: Solve for x
    x = 70,220,083,998.72/283,564.80
  6. Step 6: Final answer
    x = 247,633.29

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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.