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Finding the Fourth Proportional to 290,571.22, 436,512.98 and 172,320.13

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Solution

The fourth proportional to 290,571.22, 436,512.98 and 172,320.13 is: 258,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,571.22 : 436,512.98 = 172,320.13 : x
  2. Step 2: Convert to fraction form
    290,571.22/436,512.98 = 172,320.13/x
  3. Step 3: Cross multiply
    290,571.22x = 436,512.98 × 172,320.13
  4. Step 4: Simplify right side
    290,571.22x = 75,219,973,460.29
  5. Step 5: Solve for x
    x = 75,219,973,460.29/290,571.22
  6. Step 6: Final answer
    x = 258,869.32

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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.