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Finding the Fourth Proportional to 369,174.34, 509,460.80 and 199,408.47

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Solution

The fourth proportional to 369,174.34, 509,460.80 and 199,408.47 is: 275,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,174.34 : 509,460.80 = 199,408.47 : x
  2. Step 2: Convert to fraction form
    369,174.34/509,460.80 = 199,408.47/x
  3. Step 3: Cross multiply
    369,174.34x = 509,460.80 × 199,408.47
  4. Step 4: Simplify right side
    369,174.34x = 101,590,798,652.98
  5. Step 5: Solve for x
    x = 101,590,798,652.98/369,174.34
  6. Step 6: Final answer
    x = 275,183.80

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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.