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Finding the Fourth Proportional to 290,564.72, 436,503.21 and 172,313.63

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Solution

The fourth proportional to 290,564.72, 436,503.21 and 172,313.63 is: 258,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,564.72 : 436,503.21 = 172,313.63 : x
  2. Step 2: Convert to fraction form
    290,564.72/436,503.21 = 172,313.63/x
  3. Step 3: Cross multiply
    290,564.72x = 436,503.21 × 172,313.63
  4. Step 4: Simplify right side
    290,564.72x = 75,215,452,621.75
  5. Step 5: Solve for x
    x = 75,215,452,621.75/290,564.72
  6. Step 6: Final answer
    x = 258,859.55

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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.