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Finding the Fourth Proportional to 277,231.18, 415,898.01 and 87,739.30

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Solution

The fourth proportional to 277,231.18, 415,898.01 and 87,739.30 is: 131,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.18 : 415,898.01 = 87,739.30 : x
  2. Step 2: Convert to fraction form
    277,231.18/415,898.01 = 87,739.30/x
  3. Step 3: Cross multiply
    277,231.18x = 415,898.01 × 87,739.30
  4. Step 4: Simplify right side
    277,231.18x = 36,490,600,268.79
  5. Step 5: Solve for x
    x = 36,490,600,268.79/277,231.18
  6. Step 6: Final answer
    x = 131,625.17

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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.