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Finding the Fourth Proportional to 380,300.16, 570,363.84 and 169,824

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Solution

The fourth proportional to 380,300.16, 570,363.84 and 169,824 is: 254,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,300.16 : 570,363.84 = 169,824 : x
  2. Step 2: Convert to fraction form
    380,300.16/570,363.84 = 169,824/x
  3. Step 3: Cross multiply
    380,300.16x = 570,363.84 × 169,824
  4. Step 4: Simplify right side
    380,300.16x = 96,861,468,764.16
  5. Step 5: Solve for x
    x = 96,861,468,764.16/380,300.16
  6. Step 6: Final answer
    x = 254,697.42

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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.