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Finding the Fourth Proportional to 355,739.30, 490,913.79 and 194,592.94

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Solution

The fourth proportional to 355,739.30, 490,913.79 and 194,592.94 is: 268,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,739.30 : 490,913.79 = 194,592.94 : x
  2. Step 2: Convert to fraction form
    355,739.30/490,913.79 = 194,592.94/x
  3. Step 3: Cross multiply
    355,739.30x = 490,913.79 × 194,592.94
  4. Step 4: Simplify right side
    355,739.30x = 95,528,357,196.16
  5. Step 5: Solve for x
    x = 95,528,357,196.16/355,739.30
  6. Step 6: Final answer
    x = 268,534.73

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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.