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Finding the Fourth Proportional to 313,138.30, 469,676.30 and 144,656.22

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Solution

The fourth proportional to 313,138.30, 469,676.30 and 144,656.22 is: 216,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,138.30 : 469,676.30 = 144,656.22 : x
  2. Step 2: Convert to fraction form
    313,138.30/469,676.30 = 144,656.22/x
  3. Step 3: Cross multiply
    313,138.30x = 469,676.30 × 144,656.22
  4. Step 4: Simplify right side
    313,138.30x = 67,941,598,181.59
  5. Step 5: Solve for x
    x = 67,941,598,181.59/313,138.30
  6. Step 6: Final answer
    x = 216,969.94

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1.5x scale

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.