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Finding the Fourth Proportional to 218,697.64, 326,848.16 and 159,657.64

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Solution

The fourth proportional to 218,697.64, 326,848.16 and 159,657.64 is: 238,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,697.64 : 326,848.16 = 159,657.64 : x
  2. Step 2: Convert to fraction form
    218,697.64/326,848.16 = 159,657.64/x
  3. Step 3: Cross multiply
    218,697.64x = 326,848.16 × 159,657.64
  4. Step 4: Simplify right side
    218,697.64x = 52,183,805,863.94
  5. Step 5: Solve for x
    x = 52,183,805,863.94/218,697.64
  6. Step 6: Final answer
    x = 238,611.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.