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Finding the Fourth Proportional to 268,589.40, 403,070.40 and 202,169.40

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Solution

The fourth proportional to 268,589.40, 403,070.40 and 202,169.40 is: 303,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,589.40 : 403,070.40 = 202,169.40 : x
  2. Step 2: Convert to fraction form
    268,589.40/403,070.40 = 202,169.40/x
  3. Step 3: Cross multiply
    268,589.40x = 403,070.40 × 202,169.40
  4. Step 4: Simplify right side
    268,589.40x = 81,488,500,925.76
  5. Step 5: Solve for x
    x = 81,488,500,925.76/268,589.40
  6. Step 6: Final answer
    x = 303,394.33

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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.