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Finding the Fourth Proportional to 369,416.22, 509,782.86 and 208,269

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Solution

The fourth proportional to 369,416.22, 509,782.86 and 208,269 is: 287,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,416.22 : 509,782.86 = 208,269 : x
  2. Step 2: Convert to fraction form
    369,416.22/509,782.86 = 208,269/x
  3. Step 3: Cross multiply
    369,416.22x = 509,782.86 × 208,269
  4. Step 4: Simplify right side
    369,416.22x = 106,171,966,469.34
  5. Step 5: Solve for x
    x = 106,171,966,469.34/369,416.22
  6. Step 6: Final answer
    x = 287,404.72

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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.