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Finding the Fourth Proportional to 285,659.64, 394,214.27 and 156,610.24

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Solution

The fourth proportional to 285,659.64, 394,214.27 and 156,610.24 is: 216,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,659.64 : 394,214.27 = 156,610.24 : x
  2. Step 2: Convert to fraction form
    285,659.64/394,214.27 = 156,610.24/x
  3. Step 3: Cross multiply
    285,659.64x = 394,214.27 × 156,610.24
  4. Step 4: Simplify right side
    285,659.64x = 61,737,989,667.54
  5. Step 5: Solve for x
    x = 61,737,989,667.54/285,659.64
  6. Step 6: Final answer
    x = 216,124.30

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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.