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Finding the Fourth Proportional to 657,639.87, 986,488.50 and 208,393.84

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Solution

The fourth proportional to 657,639.87, 986,488.50 and 208,393.84 is: 312,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,639.87 : 986,488.50 = 208,393.84 : x
  2. Step 2: Convert to fraction form
    657,639.87/986,488.50 = 208,393.84/x
  3. Step 3: Cross multiply
    657,639.87x = 986,488.50 × 208,393.84
  4. Step 4: Simplify right side
    657,639.87x = 205,578,126,630.84
  5. Step 5: Solve for x
    x = 205,578,126,630.84/657,639.87
  6. Step 6: Final answer
    x = 312,599.86

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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.