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Finding the Fourth Proportional to 377,910, 521,515.80 and 208,144.13

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Solution

The fourth proportional to 377,910, 521,515.80 and 208,144.13 is: 287,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,910 : 521,515.80 = 208,144.13 : x
  2. Step 2: Convert to fraction form
    377,910/521,515.80 = 208,144.13/x
  3. Step 3: Cross multiply
    377,910x = 521,515.80 × 208,144.13
  4. Step 4: Simplify right side
    377,910x = 108,550,449,864.68
  5. Step 5: Solve for x
    x = 108,550,449,864.68/377,910
  6. Step 6: Final answer
    x = 287,238.89

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1.5x scale

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.