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Finding the Fourth Proportional to 392,948.50, 542,268.93 and 214,100.50

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Solution

The fourth proportional to 392,948.50, 542,268.93 and 214,100.50 is: 295,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,948.50 : 542,268.93 = 214,100.50 : x
  2. Step 2: Convert to fraction form
    392,948.50/542,268.93 = 214,100.50/x
  3. Step 3: Cross multiply
    392,948.50x = 542,268.93 × 214,100.50
  4. Step 4: Simplify right side
    392,948.50x = 116,100,049,047.47
  5. Step 5: Solve for x
    x = 116,100,049,047.47/392,948.50
  6. Step 6: Final answer
    x = 295,458.69

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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.