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Finding the Fourth Proportional to 277,065.15, 382,601.84 and 208,965.61

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Solution

The fourth proportional to 277,065.15, 382,601.84 and 208,965.61 is: 288,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,065.15 : 382,601.84 = 208,965.61 : x
  2. Step 2: Convert to fraction form
    277,065.15/382,601.84 = 208,965.61/x
  3. Step 3: Cross multiply
    277,065.15x = 382,601.84 × 208,965.61
  4. Step 4: Simplify right side
    277,065.15x = 79,950,626,882.72
  5. Step 5: Solve for x
    x = 79,950,626,882.72/277,065.15
  6. Step 6: Final answer
    x = 288,562.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.