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Finding the Fourth Proportional to 657,717.54, 986,603.76 and 208,428.48

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Solution

The fourth proportional to 657,717.54, 986,603.76 and 208,428.48 is: 312,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,717.54 : 986,603.76 = 208,428.48 : x
  2. Step 2: Convert to fraction form
    657,717.54/986,603.76 = 208,428.48/x
  3. Step 3: Cross multiply
    657,717.54x = 986,603.76 × 208,428.48
  4. Step 4: Simplify right side
    657,717.54x = 205,636,322,059.09
  5. Step 5: Solve for x
    x = 205,636,322,059.09/657,717.54
  6. Step 6: Final answer
    x = 312,651.42

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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.