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Finding the Fourth Proportional to 285,203.86, 393,581.44 and 156,150.69

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Solution

The fourth proportional to 285,203.86, 393,581.44 and 156,150.69 is: 215,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,203.86 : 393,581.44 = 156,150.69 : x
  2. Step 2: Convert to fraction form
    285,203.86/393,581.44 = 156,150.69/x
  3. Step 3: Cross multiply
    285,203.86x = 393,581.44 × 156,150.69
  4. Step 4: Simplify right side
    285,203.86x = 61,458,014,512.75
  5. Step 5: Solve for x
    x = 61,458,014,512.75/285,203.86
  6. Step 6: Final answer
    x = 215,488.02

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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.