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Finding the Fourth Proportional to 290,768.16, 436,094.75 and 276,349.40

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Solution

The fourth proportional to 290,768.16, 436,094.75 and 276,349.40 is: 414,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,768.16 : 436,094.75 = 276,349.40 : x
  2. Step 2: Convert to fraction form
    290,768.16/436,094.75 = 276,349.40/x
  3. Step 3: Cross multiply
    290,768.16x = 436,094.75 × 276,349.40
  4. Step 4: Simplify right side
    290,768.16x = 120,514,525,104.44
  5. Step 5: Solve for x
    x = 120,514,525,104.44/290,768.16
  6. Step 6: Final answer
    x = 414,469.46

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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.