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Finding the Fourth Proportional to 231,486.80, 347,813.40 and 147,287.30

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Solution

The fourth proportional to 231,486.80, 347,813.40 and 147,287.30 is: 221,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,486.80 : 347,813.40 = 147,287.30 : x
  2. Step 2: Convert to fraction form
    231,486.80/347,813.40 = 147,287.30/x
  3. Step 3: Cross multiply
    231,486.80x = 347,813.40 × 147,287.30
  4. Step 4: Simplify right side
    231,486.80x = 51,228,496,589.82
  5. Step 5: Solve for x
    x = 51,228,496,589.82/231,486.80
  6. Step 6: Final answer
    x = 221,302.02

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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.