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Finding the Fourth Proportional to 380,559.86, 570,873.51 and 100,077.11

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Solution

The fourth proportional to 380,559.86, 570,873.51 and 100,077.11 is: 150,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,559.86 : 570,873.51 = 100,077.11 : x
  2. Step 2: Convert to fraction form
    380,559.86/570,873.51 = 100,077.11/x
  3. Step 3: Cross multiply
    380,559.86x = 570,873.51 × 100,077.11
  4. Step 4: Simplify right side
    380,559.86x = 57,131,368,201.99
  5. Step 5: Solve for x
    x = 57,131,368,201.99/380,559.86
  6. Step 6: Final answer
    x = 150,124.53

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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.