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Finding the Fourth Proportional to 355,407.06, 490,460.46 and 194,262

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Solution

The fourth proportional to 355,407.06, 490,460.46 and 194,262 is: 268,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,407.06 : 490,460.46 = 194,262 : x
  2. Step 2: Convert to fraction form
    355,407.06/490,460.46 = 194,262/x
  3. Step 3: Cross multiply
    355,407.06x = 490,460.46 × 194,262
  4. Step 4: Simplify right side
    355,407.06x = 95,277,829,880.52
  5. Step 5: Solve for x
    x = 95,277,829,880.52/355,407.06
  6. Step 6: Final answer
    x = 268,080.86

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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.