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Finding the Fourth Proportional to 354,085.71, 488,643.86 and 192,940.66

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Solution

The fourth proportional to 354,085.71, 488,643.86 and 192,940.66 is: 266,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,085.71 : 488,643.86 = 192,940.66 : x
  2. Step 2: Convert to fraction form
    354,085.71/488,643.86 = 192,940.66/x
  3. Step 3: Cross multiply
    354,085.71x = 488,643.86 × 192,940.66
  4. Step 4: Simplify right side
    354,085.71x = 94,279,268,853.35
  5. Step 5: Solve for x
    x = 94,279,268,853.35/354,085.71
  6. Step 6: Final answer
    x = 266,261.15

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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.