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Finding the Fourth Proportional to 306,488.16, 422,949.60 and 172,352.16

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Solution

The fourth proportional to 306,488.16, 422,949.60 and 172,352.16 is: 237,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,488.16 : 422,949.60 = 172,352.16 : x
  2. Step 2: Convert to fraction form
    306,488.16/422,949.60 = 172,352.16/x
  3. Step 3: Cross multiply
    306,488.16x = 422,949.60 × 172,352.16
  4. Step 4: Simplify right side
    306,488.16x = 72,896,277,131.14
  5. Step 5: Solve for x
    x = 72,896,277,131.14/306,488.16
  6. Step 6: Final answer
    x = 237,843.70

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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.