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Finding the Fourth Proportional to 306,498.06, 422,969.43 and 170,537.74

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Solution

The fourth proportional to 306,498.06, 422,969.43 and 170,537.74 is: 235,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,498.06 : 422,969.43 = 170,537.74 : x
  2. Step 2: Convert to fraction form
    306,498.06/422,969.43 = 170,537.74/x
  3. Step 3: Cross multiply
    306,498.06x = 422,969.43 × 170,537.74
  4. Step 4: Simplify right side
    306,498.06x = 72,132,250,681.29
  5. Step 5: Solve for x
    x = 72,132,250,681.29/306,498.06
  6. Step 6: Final answer
    x = 235,343.25

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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.