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Finding the Fourth Proportional to 392,959.50, 542,284.14 and 214,111.50

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Solution

The fourth proportional to 392,959.50, 542,284.14 and 214,111.50 is: 295,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,959.50 : 542,284.14 = 214,111.50 : x
  2. Step 2: Convert to fraction form
    392,959.50/542,284.14 = 214,111.50/x
  3. Step 3: Cross multiply
    392,959.50x = 542,284.14 × 214,111.50
  4. Step 4: Simplify right side
    392,959.50x = 116,109,270,641.61
  5. Step 5: Solve for x
    x = 116,109,270,641.61/392,959.50
  6. Step 6: Final answer
    x = 295,473.89

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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.