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Finding the Fourth Proportional to 392,809.77, 542,035.40 and 263,722.10

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Solution

The fourth proportional to 392,809.77, 542,035.40 and 263,722.10 is: 363,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,809.77 : 542,035.40 = 263,722.10 : x
  2. Step 2: Convert to fraction form
    392,809.77/542,035.40 = 263,722.10/x
  3. Step 3: Cross multiply
    392,809.77x = 542,035.40 × 263,722.10
  4. Step 4: Simplify right side
    392,809.77x = 142,946,709,933.55
  5. Step 5: Solve for x
    x = 142,946,709,933.55/392,809.77
  6. Step 6: Final answer
    x = 363,908.23

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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.