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Finding the Fourth Proportional to 306,912.31, 423,560.25 and 186,058.69

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Solution

The fourth proportional to 306,912.31, 423,560.25 and 186,058.69 is: 256,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,912.31 : 423,560.25 = 186,058.69 : x
  2. Step 2: Convert to fraction form
    306,912.31/423,560.25 = 186,058.69/x
  3. Step 3: Cross multiply
    306,912.31x = 423,560.25 × 186,058.69
  4. Step 4: Simplify right side
    306,912.31x = 78,807,064,192.17
  5. Step 5: Solve for x
    x = 78,807,064,192.17/306,912.31
  6. Step 6: Final answer
    x = 256,773.88

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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.