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Finding the Fourth Proportional to 313,092.30, 469,638.45 and 113,419.20

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Solution

The fourth proportional to 313,092.30, 469,638.45 and 113,419.20 is: 170,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,092.30 : 469,638.45 = 113,419.20 : x
  2. Step 2: Convert to fraction form
    313,092.30/469,638.45 = 113,419.20/x
  3. Step 3: Cross multiply
    313,092.30x = 469,638.45 × 113,419.20
  4. Step 4: Simplify right side
    313,092.30x = 53,266,017,288.24
  5. Step 5: Solve for x
    x = 53,266,017,288.24/313,092.30
  6. Step 6: Final answer
    x = 170,128.80

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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.