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Finding the Fourth Proportional to 286,498.86, 395,380.73 and 159,174.46

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Solution

The fourth proportional to 286,498.86, 395,380.73 and 159,174.46 is: 219,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,498.86 : 395,380.73 = 159,174.46 : x
  2. Step 2: Convert to fraction form
    286,498.86/395,380.73 = 159,174.46/x
  3. Step 3: Cross multiply
    286,498.86x = 395,380.73 × 159,174.46
  4. Step 4: Simplify right side
    286,498.86x = 62,934,512,215.25
  5. Step 5: Solve for x
    x = 62,934,512,215.25/286,498.86
  6. Step 6: Final answer
    x = 219,667.58

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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.