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Finding the Fourth Proportional to 285,807.22, 394,385.55 and 164,987.43

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Solution

The fourth proportional to 285,807.22, 394,385.55 and 164,987.43 is: 227,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,807.22 : 394,385.55 = 164,987.43 : x
  2. Step 2: Convert to fraction form
    285,807.22/394,385.55 = 164,987.43/x
  3. Step 3: Cross multiply
    285,807.22x = 394,385.55 × 164,987.43
  4. Step 4: Simplify right side
    285,807.22x = 65,068,658,444.41
  5. Step 5: Solve for x
    x = 65,068,658,444.41/285,807.22
  6. Step 6: Final answer
    x = 227,666.25

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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.