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Finding the Fourth Proportional to 392,885.44, 542,436.14 and 306,695.77

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Solution

The fourth proportional to 392,885.44, 542,436.14 and 306,695.77 is: 423,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,885.44 : 542,436.14 = 306,695.77 : x
  2. Step 2: Convert to fraction form
    392,885.44/542,436.14 = 306,695.77/x
  3. Step 3: Cross multiply
    392,885.44x = 542,436.14 × 306,695.77
  4. Step 4: Simplify right side
    392,885.44x = 166,362,869,043.78
  5. Step 5: Solve for x
    x = 166,362,869,043.78/392,885.44
  6. Step 6: Final answer
    x = 423,438.62

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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.