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Finding the Fourth Proportional to 306,506.16, 422,974.44 and 172,370.16

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Solution

The fourth proportional to 306,506.16, 422,974.44 and 172,370.16 is: 237,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,506.16 : 422,974.44 = 172,370.16 : x
  2. Step 2: Convert to fraction form
    306,506.16/422,974.44 = 172,370.16/x
  3. Step 3: Cross multiply
    306,506.16x = 422,974.44 × 172,370.16
  4. Step 4: Simplify right side
    306,506.16x = 72,908,171,898.71
  5. Step 5: Solve for x
    x = 72,908,171,898.71/306,506.16
  6. Step 6: Final answer
    x = 237,868.54

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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.