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Finding the Fourth Proportional to 383,887.76, 529,761.42 and 211,807.12

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Solution

The fourth proportional to 383,887.76, 529,761.42 and 211,807.12 is: 292,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,887.76 : 529,761.42 = 211,807.12 : x
  2. Step 2: Convert to fraction form
    383,887.76/529,761.42 = 211,807.12/x
  3. Step 3: Cross multiply
    383,887.76x = 529,761.42 × 211,807.12
  4. Step 4: Simplify right side
    383,887.76x = 112,207,240,657.31
  5. Step 5: Solve for x
    x = 112,207,240,657.31/383,887.76
  6. Step 6: Final answer
    x = 292,291.79

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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.