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Finding the Fourth Proportional to 369,174.21, 509,460.40 and 199,408.34

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Solution

The fourth proportional to 369,174.21, 509,460.40 and 199,408.34 is: 275,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,174.21 : 509,460.40 = 199,408.34 : x
  2. Step 2: Convert to fraction form
    369,174.21/509,460.40 = 199,408.34/x
  3. Step 3: Cross multiply
    369,174.21x = 509,460.40 × 199,408.34
  4. Step 4: Simplify right side
    369,174.21x = 101,590,649,613.91
  5. Step 5: Solve for x
    x = 101,590,649,613.91/369,174.21
  6. Step 6: Final answer
    x = 275,183.50

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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.