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Finding the Fourth Proportional to 199,497.36, 299,256.30 and 189,408

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Solution

The fourth proportional to 199,497.36, 299,256.30 and 189,408 is: 284,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,497.36 : 299,256.30 = 189,408 : x
  2. Step 2: Convert to fraction form
    199,497.36/299,256.30 = 189,408/x
  3. Step 3: Cross multiply
    199,497.36x = 299,256.30 × 189,408
  4. Step 4: Simplify right side
    199,497.36x = 56,681,537,270.40
  5. Step 5: Solve for x
    x = 56,681,537,270.40/199,497.36
  6. Step 6: Final answer
    x = 284,121.74

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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.