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Finding the Fourth Proportional to 383,484.87, 529,211.79 and 213,729.93

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Solution

The fourth proportional to 383,484.87, 529,211.79 and 213,729.93 is: 294,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,484.87 : 529,211.79 = 213,729.93 : x
  2. Step 2: Convert to fraction form
    383,484.87/529,211.79 = 213,729.93/x
  3. Step 3: Cross multiply
    383,484.87x = 529,211.79 × 213,729.93
  4. Step 4: Simplify right side
    383,484.87x = 113,108,398,831.88
  5. Step 5: Solve for x
    x = 113,108,398,831.88/383,484.87
  6. Step 6: Final answer
    x = 294,948.79

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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.