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Finding the Fourth Proportional to 665,491.20, 997,945.20 and 265,999.20

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Solution

The fourth proportional to 665,491.20, 997,945.20 and 265,999.20 is: 398,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,491.20 : 997,945.20 = 265,999.20 : x
  2. Step 2: Convert to fraction form
    665,491.20/997,945.20 = 265,999.20/x
  3. Step 3: Cross multiply
    665,491.20x = 997,945.20 × 265,999.20
  4. Step 4: Simplify right side
    665,491.20x = 265,452,624,843.84
  5. Step 5: Solve for x
    x = 265,452,624,843.84/665,491.20
  6. Step 6: Final answer
    x = 398,882.25

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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.