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Finding the Fourth Proportional to 392,955.50, 542,278.59 and 214,107.50

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Solution

The fourth proportional to 392,955.50, 542,278.59 and 214,107.50 is: 295,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,955.50 : 542,278.59 = 214,107.50 : x
  2. Step 2: Convert to fraction form
    392,955.50/542,278.59 = 214,107.50/x
  3. Step 3: Cross multiply
    392,955.50x = 542,278.59 × 214,107.50
  4. Step 4: Simplify right side
    392,955.50x = 116,105,913,208.43
  5. Step 5: Solve for x
    x = 116,105,913,208.43/392,955.50
  6. Step 6: Final answer
    x = 295,468.35

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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.