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Finding the Fourth Proportional to 445,193.64, 668,009.70 and 208,495.44

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Solution

The fourth proportional to 445,193.64, 668,009.70 and 208,495.44 is: 312,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,193.64 : 668,009.70 = 208,495.44 : x
  2. Step 2: Convert to fraction form
    445,193.64/668,009.70 = 208,495.44/x
  3. Step 3: Cross multiply
    445,193.64x = 668,009.70 × 208,495.44
  4. Step 4: Simplify right side
    445,193.64x = 139,276,976,325.77
  5. Step 5: Solve for x
    x = 139,276,976,325.77/445,193.64
  6. Step 6: Final answer
    x = 312,845.84

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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.