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Finding the Fourth Proportional to 206,597.10, 309,968.55 and 199,307.10

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Solution

The fourth proportional to 206,597.10, 309,968.55 and 199,307.10 is: 299,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.10 : 309,968.55 = 199,307.10 : x
  2. Step 2: Convert to fraction form
    206,597.10/309,968.55 = 199,307.10/x
  3. Step 3: Cross multiply
    206,597.10x = 309,968.55 × 199,307.10
  4. Step 4: Simplify right side
    206,597.10x = 61,778,932,791.71
  5. Step 5: Solve for x
    x = 61,778,932,791.71/206,597.10
  6. Step 6: Final answer
    x = 299,030.98

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1.5x scale

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.