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Finding the Fourth Proportional to 349,702.56, 482,464.80 and 206,390.88

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Solution

The fourth proportional to 349,702.56, 482,464.80 and 206,390.88 is: 284,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,702.56 : 482,464.80 = 206,390.88 : x
  2. Step 2: Convert to fraction form
    349,702.56/482,464.80 = 206,390.88/x
  3. Step 3: Cross multiply
    349,702.56x = 482,464.80 × 206,390.88
  4. Step 4: Simplify right side
    349,702.56x = 99,576,334,641.02
  5. Step 5: Solve for x
    x = 99,576,334,641.02/349,702.56
  6. Step 6: Final answer
    x = 284,745.80

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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.