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Finding the Fourth Proportional to 381,316.80, 571,978.44 and 97,007.60

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Solution

The fourth proportional to 381,316.80, 571,978.44 and 97,007.60 is: 145,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,316.80 : 571,978.44 = 97,007.60 : x
  2. Step 2: Convert to fraction form
    381,316.80/571,978.44 = 97,007.60/x
  3. Step 3: Cross multiply
    381,316.80x = 571,978.44 × 97,007.60
  4. Step 4: Simplify right side
    381,316.80x = 55,486,255,716.14
  5. Step 5: Solve for x
    x = 55,486,255,716.14/381,316.80
  6. Step 6: Final answer
    x = 145,512.22

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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.