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Finding the Fourth Proportional to 277,053.84, 415,477.08 and 218,578.32

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Solution

The fourth proportional to 277,053.84, 415,477.08 and 218,578.32 is: 327,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,053.84 : 415,477.08 = 218,578.32 : x
  2. Step 2: Convert to fraction form
    277,053.84/415,477.08 = 218,578.32/x
  3. Step 3: Cross multiply
    277,053.84x = 415,477.08 × 218,578.32
  4. Step 4: Simplify right side
    277,053.84x = 90,814,282,144.91
  5. Step 5: Solve for x
    x = 90,814,282,144.91/277,053.84
  6. Step 6: Final answer
    x = 327,785.68

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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.