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Finding the Fourth Proportional to 277,292.92, 415,922.96 and 77,608.88

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Solution

The fourth proportional to 277,292.92, 415,922.96 and 77,608.88 is: 116,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,292.92 : 415,922.96 = 77,608.88 : x
  2. Step 2: Convert to fraction form
    277,292.92/415,922.96 = 77,608.88/x
  3. Step 3: Cross multiply
    277,292.92x = 415,922.96 × 77,608.88
  4. Step 4: Simplify right side
    277,292.92x = 32,279,316,325.71
  5. Step 5: Solve for x
    x = 32,279,316,325.71/277,292.92
  6. Step 6: Final answer
    x = 116,408.73

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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.