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Finding the Fourth Proportional to 298,913.40, 449,061.30 and 205,601.40

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Solution

The fourth proportional to 298,913.40, 449,061.30 and 205,601.40 is: 308,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,913.40 : 449,061.30 = 205,601.40 : x
  2. Step 2: Convert to fraction form
    298,913.40/449,061.30 = 205,601.40/x
  3. Step 3: Cross multiply
    298,913.40x = 449,061.30 × 205,601.40
  4. Step 4: Simplify right side
    298,913.40x = 92,327,631,965.82
  5. Step 5: Solve for x
    x = 92,327,631,965.82/298,913.40
  6. Step 6: Final answer
    x = 308,877.53

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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.