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Finding the Fourth Proportional to 306,060.51, 422,363.13 and 170,090.16

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Solution

The fourth proportional to 306,060.51, 422,363.13 and 170,090.16 is: 234,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,060.51 : 422,363.13 = 170,090.16 : x
  2. Step 2: Convert to fraction form
    306,060.51/422,363.13 = 170,090.16/x
  3. Step 3: Cross multiply
    306,060.51x = 422,363.13 × 170,090.16
  4. Step 4: Simplify right side
    306,060.51x = 71,839,812,359.80
  5. Step 5: Solve for x
    x = 71,839,812,359.80/306,060.51
  6. Step 6: Final answer
    x = 234,724.21

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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.