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Finding the Fourth Proportional to 312,101.95, 430,998.21 and 295,099.78

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Solution

The fourth proportional to 312,101.95, 430,998.21 and 295,099.78 is: 407,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,101.95 : 430,998.21 = 295,099.78 : x
  2. Step 2: Convert to fraction form
    312,101.95/430,998.21 = 295,099.78/x
  3. Step 3: Cross multiply
    312,101.95x = 430,998.21 × 295,099.78
  4. Step 4: Simplify right side
    312,101.95x = 127,187,476,951.39
  5. Step 5: Solve for x
    x = 127,187,476,951.39/312,101.95
  6. Step 6: Final answer
    x = 407,519.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.