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Finding the Fourth Proportional to 283,352.85, 424,930.05 and 83,620.35

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Solution

The fourth proportional to 283,352.85, 424,930.05 and 83,620.35 is: 125,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,352.85 : 424,930.05 = 83,620.35 : x
  2. Step 2: Convert to fraction form
    283,352.85/424,930.05 = 83,620.35/x
  3. Step 3: Cross multiply
    283,352.85x = 424,930.05 × 83,620.35
  4. Step 4: Simplify right side
    283,352.85x = 35,532,799,506.52
  5. Step 5: Solve for x
    x = 35,532,799,506.52/283,352.85
  6. Step 6: Final answer
    x = 125,401.24

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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.