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Finding the Fourth Proportional to 392,828.98, 542,063.59 and 220,719.59

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Solution

The fourth proportional to 392,828.98, 542,063.59 and 220,719.59 is: 304,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,828.98 : 542,063.59 = 220,719.59 : x
  2. Step 2: Convert to fraction form
    392,828.98/542,063.59 = 220,719.59/x
  3. Step 3: Cross multiply
    392,828.98x = 542,063.59 × 220,719.59
  4. Step 4: Simplify right side
    392,828.98x = 119,644,054,693.89
  5. Step 5: Solve for x
    x = 119,644,054,693.89/392,828.98
  6. Step 6: Final answer
    x = 304,570.34

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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.