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Finding the Fourth Proportional to 501,378, 691,901.64 and 275,024.04

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Solution

The fourth proportional to 501,378, 691,901.64 and 275,024.04 is: 379,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,378 : 691,901.64 = 275,024.04 : x
  2. Step 2: Convert to fraction form
    501,378/691,901.64 = 275,024.04/x
  3. Step 3: Cross multiply
    501,378x = 691,901.64 × 275,024.04
  4. Step 4: Simplify right side
    501,378x = 190,289,584,315.43
  5. Step 5: Solve for x
    x = 190,289,584,315.43/501,378
  6. Step 6: Final answer
    x = 379,533.18

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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.