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Finding the Fourth Proportional to 369,879.66, 510,431.94 and 208,787.09

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Solution

The fourth proportional to 369,879.66, 510,431.94 and 208,787.09 is: 288,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,879.66 : 510,431.94 = 208,787.09 : x
  2. Step 2: Convert to fraction form
    369,879.66/510,431.94 = 208,787.09/x
  3. Step 3: Cross multiply
    369,879.66x = 510,431.94 × 208,787.09
  4. Step 4: Simplify right side
    369,879.66x = 106,571,596,843.50
  5. Step 5: Solve for x
    x = 106,571,596,843.50/369,879.66
  6. Step 6: Final answer
    x = 288,125.05

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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.