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Finding the Fourth Proportional to 397,407.54, 548,144.41 and 261,398.01

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Solution

The fourth proportional to 397,407.54, 548,144.41 and 261,398.01 is: 360,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,407.54 : 548,144.41 = 261,398.01 : x
  2. Step 2: Convert to fraction form
    397,407.54/548,144.41 = 261,398.01/x
  3. Step 3: Cross multiply
    397,407.54x = 548,144.41 × 261,398.01
  4. Step 4: Simplify right side
    397,407.54x = 143,283,855,225.90
  5. Step 5: Solve for x
    x = 143,283,855,225.90/397,407.54
  6. Step 6: Final answer
    x = 360,546.40

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1.5x scale

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.