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Finding the Fourth Proportional to 238,289.78, 328,657.68 and 161,867.80

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Solution

The fourth proportional to 238,289.78, 328,657.68 and 161,867.80 is: 223,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,289.78 : 328,657.68 = 161,867.80 : x
  2. Step 2: Convert to fraction form
    238,289.78/328,657.68 = 161,867.80/x
  3. Step 3: Cross multiply
    238,289.78x = 328,657.68 × 161,867.80
  4. Step 4: Simplify right side
    238,289.78x = 53,199,095,614.70
  5. Step 5: Solve for x
    x = 53,199,095,614.70/238,289.78
  6. Step 6: Final answer
    x = 223,253.79

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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.