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Finding the Fourth Proportional to 657,102.42, 985,708.94 and 207,813.30

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Solution

The fourth proportional to 657,102.42, 985,708.94 and 207,813.30 is: 311,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,102.42 : 985,708.94 = 207,813.30 : x
  2. Step 2: Convert to fraction form
    657,102.42/985,708.94 = 207,813.30/x
  3. Step 3: Cross multiply
    657,102.42x = 985,708.94 × 207,813.30
  4. Step 4: Simplify right side
    657,102.42x = 204,843,427,660.90
  5. Step 5: Solve for x
    x = 204,843,427,660.90/657,102.42
  6. Step 6: Final answer
    x = 311,737.44

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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.