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Finding the Fourth Proportional to 368,442.50, 508,450.65 and 209,466.50

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Solution

The fourth proportional to 368,442.50, 508,450.65 and 209,466.50 is: 289,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,442.50 : 508,450.65 = 209,466.50 : x
  2. Step 2: Convert to fraction form
    368,442.50/508,450.65 = 209,466.50/x
  3. Step 3: Cross multiply
    368,442.50x = 508,450.65 × 209,466.50
  4. Step 4: Simplify right side
    368,442.50x = 106,503,378,078.23
  5. Step 5: Solve for x
    x = 106,503,378,078.23/368,442.50
  6. Step 6: Final answer
    x = 289,063.77

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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.