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Finding the Fourth Proportional to 208,304.34, 312,456.98 and 75,278.56

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Solution

The fourth proportional to 208,304.34, 312,456.98 and 75,278.56 is: 112,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,304.34 : 312,456.98 = 75,278.56 : x
  2. Step 2: Convert to fraction form
    208,304.34/312,456.98 = 75,278.56/x
  3. Step 3: Cross multiply
    208,304.34x = 312,456.98 × 75,278.56
  4. Step 4: Simplify right side
    208,304.34x = 23,521,311,516.35
  5. Step 5: Solve for x
    x = 23,521,311,516.35/208,304.34
  6. Step 6: Final answer
    x = 112,918.01

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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.