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Finding the Fourth Proportional to 446,980.62, 670,028.07 and 209,898.90

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Solution

The fourth proportional to 446,980.62, 670,028.07 and 209,898.90 is: 314,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,980.62 : 670,028.07 = 209,898.90 : x
  2. Step 2: Convert to fraction form
    446,980.62/670,028.07 = 209,898.90/x
  3. Step 3: Cross multiply
    446,980.62x = 670,028.07 × 209,898.90
  4. Step 4: Simplify right side
    446,980.62x = 140,638,154,862.12
  5. Step 5: Solve for x
    x = 140,638,154,862.12/446,980.62
  6. Step 6: Final answer
    x = 314,640.39

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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.