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Finding the Fourth Proportional to 325,979.64, 489,013.74 and 101,298.06

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Solution

The fourth proportional to 325,979.64, 489,013.74 and 101,298.06 is: 151,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,979.64 : 489,013.74 = 101,298.06 : x
  2. Step 2: Convert to fraction form
    325,979.64/489,013.74 = 101,298.06/x
  3. Step 3: Cross multiply
    325,979.64x = 489,013.74 × 101,298.06
  4. Step 4: Simplify right side
    325,979.64x = 49,536,143,175.34
  5. Step 5: Solve for x
    x = 49,536,143,175.34/325,979.64
  6. Step 6: Final answer
    x = 151,960.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.