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Finding the Fourth Proportional to 501,049, 691,810.50 and 322,512.04

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Solution

The fourth proportional to 501,049, 691,810.50 and 322,512.04 is: 445,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,049 : 691,810.50 = 322,512.04 : x
  2. Step 2: Convert to fraction form
    501,049/691,810.50 = 322,512.04/x
  3. Step 3: Cross multiply
    501,049x = 691,810.50 × 322,512.04
  4. Step 4: Simplify right side
    501,049x = 223,117,215,648.42
  5. Step 5: Solve for x
    x = 223,117,215,648.42/501,049
  6. Step 6: Final answer
    x = 445,300.19

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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.