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Finding the Fourth Proportional to 231,409.80, 347,244.30 and 98,267.40

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Solution

The fourth proportional to 231,409.80, 347,244.30 and 98,267.40 is: 147,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409.80 : 347,244.30 = 98,267.40 : x
  2. Step 2: Convert to fraction form
    231,409.80/347,244.30 = 98,267.40/x
  3. Step 3: Cross multiply
    231,409.80x = 347,244.30 × 98,267.40
  4. Step 4: Simplify right side
    231,409.80x = 34,122,794,525.82
  5. Step 5: Solve for x
    x = 34,122,794,525.82/231,409.80
  6. Step 6: Final answer
    x = 147,456.13

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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.