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Finding the Fourth Proportional to 488,546.40, 732,382.20 and 320,147.40

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Solution

The fourth proportional to 488,546.40, 732,382.20 and 320,147.40 is: 479,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,546.40 : 732,382.20 = 320,147.40 : x
  2. Step 2: Convert to fraction form
    488,546.40/732,382.20 = 320,147.40/x
  3. Step 3: Cross multiply
    488,546.40x = 732,382.20 × 320,147.40
  4. Step 4: Simplify right side
    488,546.40x = 234,470,257,136.28
  5. Step 5: Solve for x
    x = 234,470,257,136.28/488,546.40
  6. Step 6: Final answer
    x = 479,934.47

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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.