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Finding the Fourth Proportional to 313,384.40, 469,385.40 and 271,912.40

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Solution

The fourth proportional to 313,384.40, 469,385.40 and 271,912.40 is: 407,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,384.40 : 469,385.40 = 271,912.40 : x
  2. Step 2: Convert to fraction form
    313,384.40/469,385.40 = 271,912.40/x
  3. Step 3: Cross multiply
    313,384.40x = 469,385.40 × 271,912.40
  4. Step 4: Simplify right side
    313,384.40x = 127,631,710,638.96
  5. Step 5: Solve for x
    x = 127,631,710,638.96/313,384.40
  6. Step 6: Final answer
    x = 407,268.87

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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.