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Finding the Fourth Proportional to 393,047, 542,405.40 and 214,199

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Solution

The fourth proportional to 393,047, 542,405.40 and 214,199 is: 295,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,047 : 542,405.40 = 214,199 : x
  2. Step 2: Convert to fraction form
    393,047/542,405.40 = 214,199/x
  3. Step 3: Cross multiply
    393,047x = 542,405.40 × 214,199
  4. Step 4: Simplify right side
    393,047x = 116,182,694,274.60
  5. Step 5: Solve for x
    x = 116,182,694,274.60/393,047
  6. Step 6: Final answer
    x = 295,594.91

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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.