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Finding the Fourth Proportional to 392,794.40, 542,014.17 and 263,706.72

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Solution

The fourth proportional to 392,794.40, 542,014.17 and 263,706.72 is: 363,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,794.40 : 542,014.17 = 263,706.72 : x
  2. Step 2: Convert to fraction form
    392,794.40/542,014.17 = 263,706.72/x
  3. Step 3: Cross multiply
    392,794.40x = 542,014.17 × 263,706.72
  4. Step 4: Simplify right side
    392,794.40x = 142,932,778,964.22
  5. Step 5: Solve for x
    x = 142,932,778,964.22/392,794.40
  6. Step 6: Final answer
    x = 363,887.01

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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.