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Finding the Fourth Proportional to 306,400.61, 422,844.89 and 185,473.49

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Solution

The fourth proportional to 306,400.61, 422,844.89 and 185,473.49 is: 255,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,400.61 : 422,844.89 = 185,473.49 : x
  2. Step 2: Convert to fraction form
    306,400.61/422,844.89 = 185,473.49/x
  3. Step 3: Cross multiply
    306,400.61x = 422,844.89 × 185,473.49
  4. Step 4: Simplify right side
    306,400.61x = 78,426,514,435.37
  5. Step 5: Solve for x
    x = 78,426,514,435.37/306,400.61
  6. Step 6: Final answer
    x = 255,960.70

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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.