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Finding the Fourth Proportional to 405,537.26, 559,644.32 and 221,776.64

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Solution

The fourth proportional to 405,537.26, 559,644.32 and 221,776.64 is: 306,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,537.26 : 559,644.32 = 221,776.64 : x
  2. Step 2: Convert to fraction form
    405,537.26/559,644.32 = 221,776.64/x
  3. Step 3: Cross multiply
    405,537.26x = 559,644.32 × 221,776.64
  4. Step 4: Simplify right side
    405,537.26x = 124,116,032,977.58
  5. Step 5: Solve for x
    x = 124,116,032,977.58/405,537.26
  6. Step 6: Final answer
    x = 306,053.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.