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Finding the Fourth Proportional to 380,071.98, 570,260.25 and 143,481.78

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Solution

The fourth proportional to 380,071.98, 570,260.25 and 143,481.78 is: 215,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,071.98 : 570,260.25 = 143,481.78 : x
  2. Step 2: Convert to fraction form
    380,071.98/570,260.25 = 143,481.78/x
  3. Step 3: Cross multiply
    380,071.98x = 570,260.25 × 143,481.78
  4. Step 4: Simplify right side
    380,071.98x = 81,821,955,733.25
  5. Step 5: Solve for x
    x = 81,821,955,733.25/380,071.98
  6. Step 6: Final answer
    x = 215,280.16

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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.