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Finding the Fourth Proportional to 392,943.28, 542,307.82 and 220,861.48

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Solution

The fourth proportional to 392,943.28, 542,307.82 and 220,861.48 is: 304,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,943.28 : 542,307.82 = 220,861.48 : x
  2. Step 2: Convert to fraction form
    392,943.28/542,307.82 = 220,861.48/x
  3. Step 3: Cross multiply
    392,943.28x = 542,307.82 × 220,861.48
  4. Step 4: Simplify right side
    392,943.28x = 119,774,907,740.77
  5. Step 5: Solve for x
    x = 119,774,907,740.77/392,943.28
  6. Step 6: Final answer
    x = 304,814.75

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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.