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Finding the Fourth Proportional to 539,381.92, 808,942.32 and 165,408.16

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Solution

The fourth proportional to 539,381.92, 808,942.32 and 165,408.16 is: 248,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,381.92 : 808,942.32 = 165,408.16 : x
  2. Step 2: Convert to fraction form
    539,381.92/808,942.32 = 165,408.16/x
  3. Step 3: Cross multiply
    539,381.92x = 808,942.32 × 165,408.16
  4. Step 4: Simplify right side
    539,381.92x = 133,805,660,697.33
  5. Step 5: Solve for x
    x = 133,805,660,697.33/539,381.92
  6. Step 6: Final answer
    x = 248,072.20

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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.