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Finding the Fourth Proportional to 312,223.91, 430,870.28 and 168,983.91

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Solution

The fourth proportional to 312,223.91, 430,870.28 and 168,983.91 is: 233,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,223.91 : 430,870.28 = 168,983.91 : x
  2. Step 2: Convert to fraction form
    312,223.91/430,870.28 = 168,983.91/x
  3. Step 3: Cross multiply
    312,223.91x = 430,870.28 × 168,983.91
  4. Step 4: Simplify right side
    312,223.91x = 72,810,143,772.28
  5. Step 5: Solve for x
    x = 72,810,143,772.28/312,223.91
  6. Step 6: Final answer
    x = 233,198.49

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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.