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Finding the Fourth Proportional to 277,677.84, 416,463.87 and 135,380.28

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Solution

The fourth proportional to 277,677.84, 416,463.87 and 135,380.28 is: 203,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,677.84 : 416,463.87 = 135,380.28 : x
  2. Step 2: Convert to fraction form
    277,677.84/416,463.87 = 135,380.28/x
  3. Step 3: Cross multiply
    277,677.84x = 416,463.87 × 135,380.28
  4. Step 4: Simplify right side
    277,677.84x = 56,380,995,330.48
  5. Step 5: Solve for x
    x = 56,380,995,330.48/277,677.84
  6. Step 6: Final answer
    x = 203,044.63

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1.5x scale

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.