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Finding the Fourth Proportional to 320,200.80, 480,301.20 and 98,584.80

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Solution

The fourth proportional to 320,200.80, 480,301.20 and 98,584.80 is: 147,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,200.80 : 480,301.20 = 98,584.80 : x
  2. Step 2: Convert to fraction form
    320,200.80/480,301.20 = 98,584.80/x
  3. Step 3: Cross multiply
    320,200.80x = 480,301.20 × 98,584.80
  4. Step 4: Simplify right side
    320,200.80x = 47,350,397,741.76
  5. Step 5: Solve for x
    x = 47,350,397,741.76/320,200.80
  6. Step 6: Final answer
    x = 147,877.20

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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.