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Finding the Fourth Proportional to 488,140.80, 732,211.20 and 311,431.20

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Solution

The fourth proportional to 488,140.80, 732,211.20 and 311,431.20 is: 467,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,140.80 : 732,211.20 = 311,431.20 : x
  2. Step 2: Convert to fraction form
    488,140.80/732,211.20 = 311,431.20/x
  3. Step 3: Cross multiply
    488,140.80x = 732,211.20 × 311,431.20
  4. Step 4: Simplify right side
    488,140.80x = 228,033,412,669.44
  5. Step 5: Solve for x
    x = 228,033,412,669.44/488,140.80
  6. Step 6: Final answer
    x = 467,146.80

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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.