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Finding the Fourth Proportional to 312,820.90, 470,106.15 and 274,329.70

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Solution

The fourth proportional to 312,820.90, 470,106.15 and 274,329.70 is: 412,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,820.90 : 470,106.15 = 274,329.70 : x
  2. Step 2: Convert to fraction form
    312,820.90/470,106.15 = 274,329.70/x
  3. Step 3: Cross multiply
    312,820.90x = 470,106.15 × 274,329.70
  4. Step 4: Simplify right side
    312,820.90x = 128,964,079,097.66
  5. Step 5: Solve for x
    x = 128,964,079,097.66/312,820.90
  6. Step 6: Final answer
    x = 412,261.71

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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.