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Finding the Fourth Proportional to 657,889.97, 986,870.84 and 208,578.35

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Solution

The fourth proportional to 657,889.97, 986,870.84 and 208,578.35 is: 312,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,889.97 : 986,870.84 = 208,578.35 : x
  2. Step 2: Convert to fraction form
    657,889.97/986,870.84 = 208,578.35/x
  3. Step 3: Cross multiply
    657,889.97x = 986,870.84 × 208,578.35
  4. Step 4: Simplify right side
    657,889.97x = 205,839,892,894.60
  5. Step 5: Solve for x
    x = 205,839,892,894.60/657,889.97
  6. Step 6: Final answer
    x = 312,878.91

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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.