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Finding the Fourth Proportional to 205,513.40, 308,270.10 and 158,857.40

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Solution

The fourth proportional to 205,513.40, 308,270.10 and 158,857.40 is: 238,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.40 : 308,270.10 = 158,857.40 : x
  2. Step 2: Convert to fraction form
    205,513.40/308,270.10 = 158,857.40/x
  3. Step 3: Cross multiply
    205,513.40x = 308,270.10 × 158,857.40
  4. Step 4: Simplify right side
    205,513.40x = 48,970,986,583.74
  5. Step 5: Solve for x
    x = 48,970,986,583.74/205,513.40
  6. Step 6: Final answer
    x = 238,286.10

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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.