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Finding the Fourth Proportional to 306,239.89, 422,509.89 and 185,335.24

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Solution

The fourth proportional to 306,239.89, 422,509.89 and 185,335.24 is: 255,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,239.89 : 422,509.89 = 185,335.24 : x
  2. Step 2: Convert to fraction form
    306,239.89/422,509.89 = 185,335.24/x
  3. Step 3: Cross multiply
    306,239.89x = 422,509.89 × 185,335.24
  4. Step 4: Simplify right side
    306,239.89x = 78,305,971,865.52
  5. Step 5: Solve for x
    x = 78,305,971,865.52/306,239.89
  6. Step 6: Final answer
    x = 255,701.41

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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.