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Finding the Fourth Proportional to 383,023.50, 528,582.15 and 213,253.98

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Solution

The fourth proportional to 383,023.50, 528,582.15 and 213,253.98 is: 294,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,023.50 : 528,582.15 = 213,253.98 : x
  2. Step 2: Convert to fraction form
    383,023.50/528,582.15 = 213,253.98/x
  3. Step 3: Cross multiply
    383,023.50x = 528,582.15 × 213,253.98
  4. Step 4: Simplify right side
    383,023.50x = 112,722,247,244.46
  5. Step 5: Solve for x
    x = 112,722,247,244.46/383,023.50
  6. Step 6: Final answer
    x = 294,295.90

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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.