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Finding the Fourth Proportional to 231,487.80, 347,814.90 and 147,288.30

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Solution

The fourth proportional to 231,487.80, 347,814.90 and 147,288.30 is: 221,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,487.80 : 347,814.90 = 147,288.30 : x
  2. Step 2: Convert to fraction form
    231,487.80/347,814.90 = 147,288.30/x
  3. Step 3: Cross multiply
    231,487.80x = 347,814.90 × 147,288.30
  4. Step 4: Simplify right side
    231,487.80x = 51,229,065,335.67
  5. Step 5: Solve for x
    x = 51,229,065,335.67/231,487.80
  6. Step 6: Final answer
    x = 221,303.52

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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.