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Finding the Fourth Proportional to 313,980.90, 471,080.70 and 136,615.20

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Solution

The fourth proportional to 313,980.90, 471,080.70 and 136,615.20 is: 204,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,980.90 : 471,080.70 = 136,615.20 : x
  2. Step 2: Convert to fraction form
    313,980.90/471,080.70 = 136,615.20/x
  3. Step 3: Cross multiply
    313,980.90x = 471,080.70 × 136,615.20
  4. Step 4: Simplify right side
    313,980.90x = 64,356,784,046.64
  5. Step 5: Solve for x
    x = 64,356,784,046.64/313,980.90
  6. Step 6: Final answer
    x = 204,970.38

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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.