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Finding the Fourth Proportional to 324,617.40, 486,342.90 and 277,961.40

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Solution

The fourth proportional to 324,617.40, 486,342.90 and 277,961.40 is: 416,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,617.40 : 486,342.90 = 277,961.40 : x
  2. Step 2: Convert to fraction form
    324,617.40/486,342.90 = 277,961.40/x
  3. Step 3: Cross multiply
    324,617.40x = 486,342.90 × 277,961.40
  4. Step 4: Simplify right side
    324,617.40x = 135,184,553,364.06
  5. Step 5: Solve for x
    x = 135,184,553,364.06/324,617.40
  6. Step 6: Final answer
    x = 416,442.72

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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.