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Finding the Fourth Proportional to 446,102.91, 668,804.43 and 221,305.23

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Solution

The fourth proportional to 446,102.91, 668,804.43 and 221,305.23 is: 331,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,102.91 : 668,804.43 = 221,305.23 : x
  2. Step 2: Convert to fraction form
    446,102.91/668,804.43 = 221,305.23/x
  3. Step 3: Cross multiply
    446,102.91x = 668,804.43 × 221,305.23
  4. Step 4: Simplify right side
    446,102.91x = 148,009,918,206.17
  5. Step 5: Solve for x
    x = 148,009,918,206.17/446,102.91
  6. Step 6: Final answer
    x = 331,784.25

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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.