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Finding the Fourth Proportional to 306,145.40, 422,478.30 and 172,009.40

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Solution

The fourth proportional to 306,145.40, 422,478.30 and 172,009.40 is: 237,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,145.40 : 422,478.30 = 172,009.40 : x
  2. Step 2: Convert to fraction form
    306,145.40/422,478.30 = 172,009.40/x
  3. Step 3: Cross multiply
    306,145.40x = 422,478.30 × 172,009.40
  4. Step 4: Simplify right side
    306,145.40x = 72,670,238,896.02
  5. Step 5: Solve for x
    x = 72,670,238,896.02/306,145.40
  6. Step 6: Final answer
    x = 237,371.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.