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Finding the Fourth Proportional to 313,963.40, 471,204.30 and 145,742.60

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Solution

The fourth proportional to 313,963.40, 471,204.30 and 145,742.60 is: 218,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,963.40 : 471,204.30 = 145,742.60 : x
  2. Step 2: Convert to fraction form
    313,963.40/471,204.30 = 145,742.60/x
  3. Step 3: Cross multiply
    313,963.40x = 471,204.30 × 145,742.60
  4. Step 4: Simplify right side
    313,963.40x = 68,674,539,813.18
  5. Step 5: Solve for x
    x = 68,674,539,813.18/313,963.40
  6. Step 6: Final answer
    x = 218,734.22

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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.