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Finding the Fourth Proportional to 657,286.40, 985,926.40 and 257,644.80

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Solution

The fourth proportional to 657,286.40, 985,926.40 and 257,644.80 is: 386,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,286.40 : 985,926.40 = 257,644.80 : x
  2. Step 2: Convert to fraction form
    657,286.40/985,926.40 = 257,644.80/x
  3. Step 3: Cross multiply
    657,286.40x = 985,926.40 × 257,644.80
  4. Step 4: Simplify right side
    657,286.40x = 254,018,810,142.72
  5. Step 5: Solve for x
    x = 254,018,810,142.72/657,286.40
  6. Step 6: Final answer
    x = 386,465.95

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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.