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Finding the Fourth Proportional to 206,881.60, 310,322.40 and 199,008.40

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Solution

The fourth proportional to 206,881.60, 310,322.40 and 199,008.40 is: 298,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,881.60 : 310,322.40 = 199,008.40 : x
  2. Step 2: Convert to fraction form
    206,881.60/310,322.40 = 199,008.40/x
  3. Step 3: Cross multiply
    206,881.60x = 310,322.40 × 199,008.40
  4. Step 4: Simplify right side
    206,881.60x = 61,756,764,308.16
  5. Step 5: Solve for x
    x = 61,756,764,308.16/206,881.60
  6. Step 6: Final answer
    x = 298,512.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.