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Finding the Fourth Proportional to 285,987.92, 394,710.54 and 158,704.52

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Solution

The fourth proportional to 285,987.92, 394,710.54 and 158,704.52 is: 219,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,987.92 : 394,710.54 = 158,704.52 : x
  2. Step 2: Convert to fraction form
    285,987.92/394,710.54 = 158,704.52/x
  3. Step 3: Cross multiply
    285,987.92x = 394,710.54 × 158,704.52
  4. Step 4: Simplify right side
    285,987.92x = 62,642,346,789.64
  5. Step 5: Solve for x
    x = 62,642,346,789.64/285,987.92
  6. Step 6: Final answer
    x = 219,038.44

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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.