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Finding the Fourth Proportional to 377,863.80, 521,428.39 and 208,097.93

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Solution

The fourth proportional to 377,863.80, 521,428.39 and 208,097.93 is: 287,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,863.80 : 521,428.39 = 208,097.93 : x
  2. Step 2: Convert to fraction form
    377,863.80/521,428.39 = 208,097.93/x
  3. Step 3: Cross multiply
    377,863.80x = 521,428.39 × 208,097.93
  4. Step 4: Simplify right side
    377,863.80x = 108,508,168,602.23
  5. Step 5: Solve for x
    x = 108,508,168,602.23/377,863.80
  6. Step 6: Final answer
    x = 287,162.12

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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.