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Finding the Fourth Proportional to 277,388.32, 415,832.79 and 99,770.50

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Solution

The fourth proportional to 277,388.32, 415,832.79 and 99,770.50 is: 149,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,388.32 : 415,832.79 = 99,770.50 : x
  2. Step 2: Convert to fraction form
    277,388.32/415,832.79 = 99,770.50/x
  3. Step 3: Cross multiply
    277,388.32x = 415,832.79 × 99,770.50
  4. Step 4: Simplify right side
    277,388.32x = 41,487,845,374.70
  5. Step 5: Solve for x
    x = 41,487,845,374.70/277,388.32
  6. Step 6: Final answer
    x = 149,565.94

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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.