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Finding the Fourth Proportional to 354,541.53, 489,268.80 and 193,400.04

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Solution

The fourth proportional to 354,541.53, 489,268.80 and 193,400.04 is: 266,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,541.53 : 489,268.80 = 193,400.04 : x
  2. Step 2: Convert to fraction form
    354,541.53/489,268.80 = 193,400.04/x
  3. Step 3: Cross multiply
    354,541.53x = 489,268.80 × 193,400.04
  4. Step 4: Simplify right side
    354,541.53x = 94,624,605,490.75
  5. Step 5: Solve for x
    x = 94,624,605,490.75/354,541.53
  6. Step 6: Final answer
    x = 266,892.87

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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.