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Finding the Fourth Proportional to 369,493.87, 509,858.20 and 208,339.31

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Solution

The fourth proportional to 369,493.87, 509,858.20 and 208,339.31 is: 287,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,493.87 : 509,858.20 = 208,339.31 : x
  2. Step 2: Convert to fraction form
    369,493.87/509,858.20 = 208,339.31/x
  3. Step 3: Cross multiply
    369,493.87x = 509,858.20 × 208,339.31
  4. Step 4: Simplify right side
    369,493.87x = 106,223,505,585.84
  5. Step 5: Solve for x
    x = 106,223,505,585.84/369,493.87
  6. Step 6: Final answer
    x = 287,483.81

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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.