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Finding the Fourth Proportional to 358,349.95, 494,523.01 and 197,205

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Solution

The fourth proportional to 358,349.95, 494,523.01 and 197,205 is: 272,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,349.95 : 494,523.01 = 197,205 : x
  2. Step 2: Convert to fraction form
    358,349.95/494,523.01 = 197,205/x
  3. Step 3: Cross multiply
    358,349.95x = 494,523.01 × 197,205
  4. Step 4: Simplify right side
    358,349.95x = 97,522,410,187.05
  5. Step 5: Solve for x
    x = 97,522,410,187.05/358,349.95
  6. Step 6: Final answer
    x = 272,142.94

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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.