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Finding the Fourth Proportional to 377,863.95, 521,448.80 and 208,094.43

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Solution

The fourth proportional to 377,863.95, 521,448.80 and 208,094.43 is: 287,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,863.95 : 521,448.80 = 208,094.43 : x
  2. Step 2: Convert to fraction form
    377,863.95/521,448.80 = 208,094.43/x
  3. Step 3: Cross multiply
    377,863.95x = 521,448.80 × 208,094.43
  4. Step 4: Simplify right side
    377,863.95x = 108,510,589,769.71
  5. Step 5: Solve for x
    x = 108,510,589,769.71/377,863.95
  6. Step 6: Final answer
    x = 287,168.41

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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.