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Finding the Fourth Proportional to 355,782.51, 490,978.13 and 194,634.63

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Solution

The fourth proportional to 355,782.51, 490,978.13 and 194,634.63 is: 268,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,782.51 : 490,978.13 = 194,634.63 : x
  2. Step 2: Convert to fraction form
    355,782.51/490,978.13 = 194,634.63/x
  3. Step 3: Cross multiply
    355,782.51x = 490,978.13 × 194,634.63
  4. Step 4: Simplify right side
    355,782.51x = 95,561,345,697.47
  5. Step 5: Solve for x
    x = 95,561,345,697.47/355,782.51
  6. Step 6: Final answer
    x = 268,594.84

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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.