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Finding the Fourth Proportional to 657,709.30, 986,591.39 and 208,420.22

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Solution

The fourth proportional to 657,709.30, 986,591.39 and 208,420.22 is: 312,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,709.30 : 986,591.39 = 208,420.22 : x
  2. Step 2: Convert to fraction form
    657,709.30/986,591.39 = 208,420.22/x
  3. Step 3: Cross multiply
    657,709.30x = 986,591.39 × 208,420.22
  4. Step 4: Simplify right side
    657,709.30x = 205,625,594,553.91
  5. Step 5: Solve for x
    x = 205,625,594,553.91/657,709.30
  6. Step 6: Final answer
    x = 312,639.03

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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.