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Finding the Fourth Proportional to 446,358.39, 669,574.03 and 209,571.90

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Solution

The fourth proportional to 446,358.39, 669,574.03 and 209,571.90 is: 314,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,358.39 : 669,574.03 = 209,571.90 : x
  2. Step 2: Convert to fraction form
    446,358.39/669,574.03 = 209,571.90/x
  3. Step 3: Cross multiply
    446,358.39x = 669,574.03 × 209,571.90
  4. Step 4: Simplify right side
    446,358.39x = 140,323,901,657.76
  5. Step 5: Solve for x
    x = 140,323,901,657.76/446,358.39
  6. Step 6: Final answer
    x = 314,374.96

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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.