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Finding the Fourth Proportional to 508,940.18, 763,306.59 and 193,286.42

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Solution

The fourth proportional to 508,940.18, 763,306.59 and 193,286.42 is: 289,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,940.18 : 763,306.59 = 193,286.42 : x
  2. Step 2: Convert to fraction form
    508,940.18/763,306.59 = 193,286.42/x
  3. Step 3: Cross multiply
    508,940.18x = 763,306.59 × 193,286.42
  4. Step 4: Simplify right side
    508,940.18x = 147,536,798,143.51
  5. Step 5: Solve for x
    x = 147,536,798,143.51/508,940.18
  6. Step 6: Final answer
    x = 289,890.25

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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.