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Finding the Fourth Proportional to 369,435.78, 509,811.18 and 208,289.42

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Solution

The fourth proportional to 369,435.78, 509,811.18 and 208,289.42 is: 287,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,435.78 : 509,811.18 = 208,289.42 : x
  2. Step 2: Convert to fraction form
    369,435.78/509,811.18 = 208,289.42/x
  3. Step 3: Cross multiply
    369,435.78x = 509,811.18 × 208,289.42
  4. Step 4: Simplify right side
    369,435.78x = 106,188,274,991.72
  5. Step 5: Solve for x
    x = 106,188,274,991.72/369,435.78
  6. Step 6: Final answer
    x = 287,433.65

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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.