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Finding the Fourth Proportional to 509,590.38, 764,477.51 and 209,907.39

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Solution

The fourth proportional to 509,590.38, 764,477.51 and 209,907.39 is: 314,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,590.38 : 764,477.51 = 209,907.39 : x
  2. Step 2: Convert to fraction form
    509,590.38/764,477.51 = 209,907.39/x
  3. Step 3: Cross multiply
    509,590.38x = 764,477.51 × 209,907.39
  4. Step 4: Simplify right side
    509,590.38x = 160,469,477,788.26
  5. Step 5: Solve for x
    x = 160,469,477,788.26/509,590.38
  6. Step 6: Final answer
    x = 314,898.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.