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Finding the Fourth Proportional to 568,871.64, 785,036.07 and 310,745.43

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Solution

The fourth proportional to 568,871.64, 785,036.07 and 310,745.43 is: 428,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,871.64 : 785,036.07 = 310,745.43 : x
  2. Step 2: Convert to fraction form
    568,871.64/785,036.07 = 310,745.43/x
  3. Step 3: Cross multiply
    568,871.64x = 785,036.07 × 310,745.43
  4. Step 4: Simplify right side
    568,871.64x = 243,946,371,137.66
  5. Step 5: Solve for x
    x = 243,946,371,137.66/568,871.64
  6. Step 6: Final answer
    x = 428,824.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.