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Finding the Fourth Proportional to 383,405.49, 529,092.48 and 208,977.18

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Solution

The fourth proportional to 383,405.49, 529,092.48 and 208,977.18 is: 288,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,405.49 : 529,092.48 = 208,977.18 : x
  2. Step 2: Convert to fraction form
    383,405.49/529,092.48 = 208,977.18/x
  3. Step 3: Cross multiply
    383,405.49x = 529,092.48 × 208,977.18
  4. Step 4: Simplify right side
    383,405.49x = 110,568,254,429.61
  5. Step 5: Solve for x
    x = 110,568,254,429.61/383,405.49
  6. Step 6: Final answer
    x = 288,384.64

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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.