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Finding the Fourth Proportional to 355,685.26, 490,838.76 and 194,539.84

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Solution

The fourth proportional to 355,685.26, 490,838.76 and 194,539.84 is: 268,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,685.26 : 490,838.76 = 194,539.84 : x
  2. Step 2: Convert to fraction form
    355,685.26/490,838.76 = 194,539.84/x
  3. Step 3: Cross multiply
    355,685.26x = 490,838.76 × 194,539.84
  4. Step 4: Simplify right side
    355,685.26x = 95,487,693,836.20
  5. Step 5: Solve for x
    x = 95,487,693,836.20/355,685.26
  6. Step 6: Final answer
    x = 268,461.21

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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.