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Finding the Fourth Proportional to 657,708.30, 986,589.89 and 208,419.22

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Solution

The fourth proportional to 657,708.30, 986,589.89 and 208,419.22 is: 312,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,708.30 : 986,589.89 = 208,419.22 : x
  2. Step 2: Convert to fraction form
    657,708.30/986,589.89 = 208,419.22/x
  3. Step 3: Cross multiply
    657,708.30x = 986,589.89 × 208,419.22
  4. Step 4: Simplify right side
    657,708.30x = 205,624,295,333.69
  5. Step 5: Solve for x
    x = 205,624,295,333.69/657,708.30
  6. Step 6: Final answer
    x = 312,637.53

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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.