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Finding the Fourth Proportional to 392,077.68, 541,802.70 and 320,431.56

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Solution

The fourth proportional to 392,077.68, 541,802.70 and 320,431.56 is: 442,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,077.68 : 541,802.70 = 320,431.56 : x
  2. Step 2: Convert to fraction form
    392,077.68/541,802.70 = 320,431.56/x
  3. Step 3: Cross multiply
    392,077.68x = 541,802.70 × 320,431.56
  4. Step 4: Simplify right side
    392,077.68x = 173,610,684,373.21
  5. Step 5: Solve for x
    x = 173,610,684,373.21/392,077.68
  6. Step 6: Final answer
    x = 442,796.65

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1.5x scale

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.