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Finding the Fourth Proportional to 354,464.59, 489,158.89 and 201,502.79

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Solution

The fourth proportional to 354,464.59, 489,158.89 and 201,502.79 is: 278,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,464.59 : 489,158.89 = 201,502.79 : x
  2. Step 2: Convert to fraction form
    354,464.59/489,158.89 = 201,502.79/x
  3. Step 3: Cross multiply
    354,464.59x = 489,158.89 × 201,502.79
  4. Step 4: Simplify right side
    354,464.59x = 98,566,880,728.73
  5. Step 5: Solve for x
    x = 98,566,880,728.73/354,464.59
  6. Step 6: Final answer
    x = 278,072.57

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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.