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Finding the Fourth Proportional to 306,509.41, 422,978.92 and 172,373.41

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Solution

The fourth proportional to 306,509.41, 422,978.92 and 172,373.41 is: 237,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,509.41 : 422,978.92 = 172,373.41 : x
  2. Step 2: Convert to fraction form
    306,509.41/422,978.92 = 172,373.41/x
  3. Step 3: Cross multiply
    306,509.41x = 422,978.92 × 172,373.41
  4. Step 4: Simplify right side
    306,509.41x = 72,910,318,798.52
  5. Step 5: Solve for x
    x = 72,910,318,798.52/306,509.41
  6. Step 6: Final answer
    x = 237,873.02

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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.