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Finding the Fourth Proportional to 313,951.40, 471,186.30 and 145,730.60

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Solution

The fourth proportional to 313,951.40, 471,186.30 and 145,730.60 is: 218,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.40 : 471,186.30 = 145,730.60 : x
  2. Step 2: Convert to fraction form
    313,951.40/471,186.30 = 145,730.60/x
  3. Step 3: Cross multiply
    313,951.40x = 471,186.30 × 145,730.60
  4. Step 4: Simplify right side
    313,951.40x = 68,666,262,210.78
  5. Step 5: Solve for x
    x = 68,666,262,210.78/313,951.40
  6. Step 6: Final answer
    x = 218,716.22

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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.