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Finding the Fourth Proportional to 285,698.24, 394,268.01 and 156,648.50

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Solution

The fourth proportional to 285,698.24, 394,268.01 and 156,648.50 is: 216,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.24 : 394,268.01 = 156,648.50 : x
  2. Step 2: Convert to fraction form
    285,698.24/394,268.01 = 156,648.50/x
  3. Step 3: Cross multiply
    285,698.24x = 394,268.01 × 156,648.50
  4. Step 4: Simplify right side
    285,698.24x = 61,761,490,393.15
  5. Step 5: Solve for x
    x = 61,761,490,393.15/285,698.24
  6. Step 6: Final answer
    x = 216,177.36

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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.