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Finding the Fourth Proportional to 277,302.89, 415,954.34 and 90,314.39

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Solution

The fourth proportional to 277,302.89, 415,954.34 and 90,314.39 is: 135,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,302.89 : 415,954.34 = 90,314.39 : x
  2. Step 2: Convert to fraction form
    277,302.89/415,954.34 = 90,314.39/x
  3. Step 3: Cross multiply
    277,302.89x = 415,954.34 × 90,314.39
  4. Step 4: Simplify right side
    277,302.89x = 37,566,663,411.95
  5. Step 5: Solve for x
    x = 37,566,663,411.95/277,302.89
  6. Step 6: Final answer
    x = 135,471.59

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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.