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Finding the Fourth Proportional to 392,723.84, 542,278.50 and 320,138.12

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Solution

The fourth proportional to 392,723.84, 542,278.50 and 320,138.12 is: 442,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,723.84 : 542,278.50 = 320,138.12 : x
  2. Step 2: Convert to fraction form
    392,723.84/542,278.50 = 320,138.12/x
  3. Step 3: Cross multiply
    392,723.84x = 542,278.50 × 320,138.12
  4. Step 4: Simplify right side
    392,723.84x = 173,604,019,661.60
  5. Step 5: Solve for x
    x = 173,604,019,661.60/392,723.84
  6. Step 6: Final answer
    x = 442,051.13

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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.