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Finding the Fourth Proportional to 272,938.80, 409,830.60 and 148,522.80

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Solution

The fourth proportional to 272,938.80, 409,830.60 and 148,522.80 is: 223,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938.80 : 409,830.60 = 148,522.80 : x
  2. Step 2: Convert to fraction form
    272,938.80/409,830.60 = 148,522.80/x
  3. Step 3: Cross multiply
    272,938.80x = 409,830.60 × 148,522.80
  4. Step 4: Simplify right side
    272,938.80x = 60,869,188,237.68
  5. Step 5: Solve for x
    x = 60,869,188,237.68/272,938.80
  6. Step 6: Final answer
    x = 223,014.05

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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.