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Finding the Fourth Proportional to 313,530.12, 470,146.86 and 121,494.44

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Solution

The fourth proportional to 313,530.12, 470,146.86 and 121,494.44 is: 182,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,530.12 : 470,146.86 = 121,494.44 : x
  2. Step 2: Convert to fraction form
    313,530.12/470,146.86 = 121,494.44/x
  3. Step 3: Cross multiply
    313,530.12x = 470,146.86 × 121,494.44
  4. Step 4: Simplify right side
    313,530.12x = 57,120,229,473.46
  5. Step 5: Solve for x
    x = 57,120,229,473.46/313,530.12
  6. Step 6: Final answer
    x = 182,184.19

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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.