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Finding the Fourth Proportional to 290,033.56, 435,032.88 and 172,453.16

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Solution

The fourth proportional to 290,033.56, 435,032.88 and 172,453.16 is: 258,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,033.56 : 435,032.88 = 172,453.16 : x
  2. Step 2: Convert to fraction form
    290,033.56/435,032.88 = 172,453.16/x
  3. Step 3: Cross multiply
    290,033.56x = 435,032.88 × 172,453.16
  4. Step 4: Simplify right side
    290,033.56x = 75,022,794,859.90
  5. Step 5: Solve for x
    x = 75,022,794,859.90/290,033.56
  6. Step 6: Final answer
    x = 258,669.36

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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.