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Finding the Fourth Proportional to 446,367.40, 669,587.52 and 209,580.92

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Solution

The fourth proportional to 446,367.40, 669,587.52 and 209,580.92 is: 314,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,367.40 : 669,587.52 = 209,580.92 : x
  2. Step 2: Convert to fraction form
    446,367.40/669,587.52 = 209,580.92/x
  3. Step 3: Cross multiply
    446,367.40x = 669,587.52 × 209,580.92
  4. Step 4: Simplify right side
    446,367.40x = 140,332,768,462.12
  5. Step 5: Solve for x
    x = 140,332,768,462.12/446,367.40
  6. Step 6: Final answer
    x = 314,388.48

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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.