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Finding the Fourth Proportional to 488,129.80, 732,850.80 and 311,420.20

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Solution

The fourth proportional to 488,129.80, 732,850.80 and 311,420.20 is: 467,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,129.80 : 732,850.80 = 311,420.20 : x
  2. Step 2: Convert to fraction form
    488,129.80/732,850.80 = 311,420.20/x
  3. Step 3: Cross multiply
    488,129.80x = 732,850.80 × 311,420.20
  4. Step 4: Simplify right side
    488,129.80x = 228,224,542,706.16
  5. Step 5: Solve for x
    x = 228,224,542,706.16/488,129.80
  6. Step 6: Final answer
    x = 467,548.88

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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.