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Finding the Fourth Proportional to 657,716.69, 986,602.72 and 208,455.29

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Solution

The fourth proportional to 657,716.69, 986,602.72 and 208,455.29 is: 312,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,716.69 : 986,602.72 = 208,455.29 : x
  2. Step 2: Convert to fraction form
    657,716.69/986,602.72 = 208,455.29/x
  3. Step 3: Cross multiply
    657,716.69x = 986,602.72 × 208,455.29
  4. Step 4: Simplify right side
    657,716.69x = 205,662,556,112.39
  5. Step 5: Solve for x
    x = 205,662,556,112.39/657,716.69
  6. Step 6: Final answer
    x = 312,691.71

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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.