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Finding the Fourth Proportional to 360,408.36, 497,343.45 and 199,254

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Solution

The fourth proportional to 360,408.36, 497,343.45 and 199,254 is: 274,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,408.36 : 497,343.45 = 199,254 : x
  2. Step 2: Convert to fraction form
    360,408.36/497,343.45 = 199,254/x
  3. Step 3: Cross multiply
    360,408.36x = 497,343.45 × 199,254
  4. Step 4: Simplify right side
    360,408.36x = 99,097,671,786.30
  5. Step 5: Solve for x
    x = 99,097,671,786.30/360,408.36
  6. Step 6: Final answer
    x = 274,959.41

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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.