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Finding the Fourth Proportional to 306,073.07, 422,259.64 and 176,987.82

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Solution

The fourth proportional to 306,073.07, 422,259.64 and 176,987.82 is: 244,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,073.07 : 422,259.64 = 176,987.82 : x
  2. Step 2: Convert to fraction form
    306,073.07/422,259.64 = 176,987.82/x
  3. Step 3: Cross multiply
    306,073.07x = 422,259.64 × 176,987.82
  4. Step 4: Simplify right side
    306,073.07x = 74,734,813,157.58
  5. Step 5: Solve for x
    x = 74,734,813,157.58/306,073.07
  6. Step 6: Final answer
    x = 244,173.11

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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.