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Finding the Fourth Proportional to 206,860.60, 310,290.90 and 197,237.80

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Solution

The fourth proportional to 206,860.60, 310,290.90 and 197,237.80 is: 295,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,860.60 : 310,290.90 = 197,237.80 : x
  2. Step 2: Convert to fraction form
    206,860.60/310,290.90 = 197,237.80/x
  3. Step 3: Cross multiply
    206,860.60x = 310,290.90 × 197,237.80
  4. Step 4: Simplify right side
    206,860.60x = 61,201,094,476.02
  5. Step 5: Solve for x
    x = 61,201,094,476.02/206,860.60
  6. Step 6: Final answer
    x = 295,856.70

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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.