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Finding the Fourth Proportional to 238,289.79, 328,657.70 and 161,867.81

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Solution

The fourth proportional to 238,289.79, 328,657.70 and 161,867.81 is: 223,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,289.79 : 328,657.70 = 161,867.81 : x
  2. Step 2: Convert to fraction form
    238,289.79/328,657.70 = 161,867.81/x
  3. Step 3: Cross multiply
    238,289.79x = 328,657.70 × 161,867.81
  4. Step 4: Simplify right side
    238,289.79x = 53,199,099,686.01
  5. Step 5: Solve for x
    x = 53,199,099,686.01/238,289.79
  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.