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Finding the Fourth Proportional to 392,861.34, 542,152.44 and 223,096.68

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Solution

The fourth proportional to 392,861.34, 542,152.44 and 223,096.68 is: 307,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,861.34 : 542,152.44 = 223,096.68 : x
  2. Step 2: Convert to fraction form
    392,861.34/542,152.44 = 223,096.68/x
  3. Step 3: Cross multiply
    392,861.34x = 542,152.44 × 223,096.68
  4. Step 4: Simplify right side
    392,861.34x = 120,952,409,417.90
  5. Step 5: Solve for x
    x = 120,952,409,417.90/392,861.34
  6. Step 6: Final answer
    x = 307,875.57

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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.