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Finding the Fourth Proportional to 306,508.41, 422,977.55 and 172,372.41

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Solution

The fourth proportional to 306,508.41, 422,977.55 and 172,372.41 is: 237,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,508.41 : 422,977.55 = 172,372.41 : x
  2. Step 2: Convert to fraction form
    306,508.41/422,977.55 = 172,372.41/x
  3. Step 3: Cross multiply
    306,508.41x = 422,977.55 × 172,372.41
  4. Step 4: Simplify right side
    306,508.41x = 72,909,658,807.53
  5. Step 5: Solve for x
    x = 72,909,658,807.53/306,508.41
  6. Step 6: Final answer
    x = 237,871.64

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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.