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Finding the Fourth Proportional to 389,869.60, 584,512.80 and 212,576.80

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Solution

The fourth proportional to 389,869.60, 584,512.80 and 212,576.80 is: 318,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,869.60 : 584,512.80 = 212,576.80 : x
  2. Step 2: Convert to fraction form
    389,869.60/584,512.80 = 212,576.80/x
  3. Step 3: Cross multiply
    389,869.60x = 584,512.80 × 212,576.80
  4. Step 4: Simplify right side
    389,869.60x = 124,253,860,583.04
  5. Step 5: Solve for x
    x = 124,253,860,583.04/389,869.60
  6. Step 6: Final answer
    x = 318,706.20

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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.