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Finding the Fourth Proportional to 392,805, 542,030.63 and 220,695.59

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Solution

The fourth proportional to 392,805, 542,030.63 and 220,695.59 is: 304,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,805 : 542,030.63 = 220,695.59 : x
  2. Step 2: Convert to fraction form
    392,805/542,030.63 = 220,695.59/x
  3. Step 3: Cross multiply
    392,805x = 542,030.63 × 220,695.59
  4. Step 4: Simplify right side
    392,805x = 119,623,769,937.52
  5. Step 5: Solve for x
    x = 119,623,769,937.52/392,805
  6. Step 6: Final answer
    x = 304,537.29

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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.