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Finding the Fourth Proportional to 657,591.33, 986,303.84 and 208,357.77

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Solution

The fourth proportional to 657,591.33, 986,303.84 and 208,357.77 is: 312,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,591.33 : 986,303.84 = 208,357.77 : x
  2. Step 2: Convert to fraction form
    657,591.33/986,303.84 = 208,357.77/x
  3. Step 3: Cross multiply
    657,591.33x = 986,303.84 × 208,357.77
  4. Step 4: Simplify right side
    657,591.33x = 205,504,067,603.05
  5. Step 5: Solve for x
    x = 205,504,067,603.05/657,591.33
  6. Step 6: Final answer
    x = 312,510.31

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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.