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Finding the Fourth Proportional to 383,873.50, 529,721.40 and 211,793.50

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Solution

The fourth proportional to 383,873.50, 529,721.40 and 211,793.50 is: 292,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,873.50 : 529,721.40 = 211,793.50 : x
  2. Step 2: Convert to fraction form
    383,873.50/529,721.40 = 211,793.50/x
  3. Step 3: Cross multiply
    383,873.50x = 529,721.40 × 211,793.50
  4. Step 4: Simplify right side
    383,873.50x = 112,191,549,330.90
  5. Step 5: Solve for x
    x = 112,191,549,330.90/383,873.50
  6. Step 6: Final answer
    x = 292,261.77

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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.