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Finding the Fourth Proportional to 392,023.32, 541,213.83 and 299,969.52

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Solution

The fourth proportional to 392,023.32, 541,213.83 and 299,969.52 is: 414,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,023.32 : 541,213.83 = 299,969.52 : x
  2. Step 2: Convert to fraction form
    392,023.32/541,213.83 = 299,969.52/x
  3. Step 3: Cross multiply
    392,023.32x = 541,213.83 × 299,969.52
  4. Step 4: Simplify right side
    392,023.32x = 162,347,652,802.46
  5. Step 5: Solve for x
    x = 162,347,652,802.46/392,023.32
  6. Step 6: Final answer
    x = 414,127.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.