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Finding the Fourth Proportional to 306,503.64, 422,987.22 and 185,576.22

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Solution

The fourth proportional to 306,503.64, 422,987.22 and 185,576.22 is: 256,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,503.64 : 422,987.22 = 185,576.22 : x
  2. Step 2: Convert to fraction form
    306,503.64/422,987.22 = 185,576.22/x
  3. Step 3: Cross multiply
    306,503.64x = 422,987.22 × 185,576.22
  4. Step 4: Simplify right side
    306,503.64x = 78,496,369,395.91
  5. Step 5: Solve for x
    x = 78,496,369,395.91/306,503.64
  6. Step 6: Final answer
    x = 256,102.57

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1.5x scale

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.