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Finding the Fourth Proportional to 355,774.69, 490,980.68 and 194,629.74

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Solution

The fourth proportional to 355,774.69, 490,980.68 and 194,629.74 is: 268,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,774.69 : 490,980.68 = 194,629.74 : x
  2. Step 2: Convert to fraction form
    355,774.69/490,980.68 = 194,629.74/x
  3. Step 3: Cross multiply
    355,774.69x = 490,980.68 × 194,629.74
  4. Step 4: Simplify right side
    355,774.69x = 95,559,442,580.00
  5. Step 5: Solve for x
    x = 95,559,442,580.00/355,774.69
  6. Step 6: Final answer
    x = 268,595.39

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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.