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Finding the Fourth Proportional to 397,408.35, 548,145.53 and 261,398.82

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Solution

The fourth proportional to 397,408.35, 548,145.53 and 261,398.82 is: 360,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,408.35 : 548,145.53 = 261,398.82 : x
  2. Step 2: Convert to fraction form
    397,408.35/548,145.53 = 261,398.82/x
  3. Step 3: Cross multiply
    397,408.35x = 548,145.53 × 261,398.82
  4. Step 4: Simplify right side
    397,408.35x = 143,284,594,730.28
  5. Step 5: Solve for x
    x = 143,284,594,730.28/397,408.35
  6. Step 6: Final answer
    x = 360,547.52

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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.