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Finding the Fourth Proportional to 501,533.28, 692,109.72 and 275,178.60

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Solution

The fourth proportional to 501,533.28, 692,109.72 and 275,178.60 is: 379,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,533.28 : 692,109.72 = 275,178.60 : x
  2. Step 2: Convert to fraction form
    501,533.28/692,109.72 = 275,178.60/x
  3. Step 3: Cross multiply
    501,533.28x = 692,109.72 × 275,178.60
  4. Step 4: Simplify right side
    501,533.28x = 190,453,783,795.99
  5. Step 5: Solve for x
    x = 190,453,783,795.99/501,533.28
  6. Step 6: Final answer
    x = 379,743.06

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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.