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Finding the Fourth Proportional to 457,388.82, 686,084.70 and 115,832.04

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Solution

The fourth proportional to 457,388.82, 686,084.70 and 115,832.04 is: 173,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,388.82 : 686,084.70 = 115,832.04 : x
  2. Step 2: Convert to fraction form
    457,388.82/686,084.70 = 115,832.04/x
  3. Step 3: Cross multiply
    457,388.82x = 686,084.70 × 115,832.04
  4. Step 4: Simplify right side
    457,388.82x = 79,470,590,413.79
  5. Step 5: Solve for x
    x = 79,470,590,413.79/457,388.82
  6. Step 6: Final answer
    x = 173,748.43

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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.