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Finding the Fourth Proportional to 355,944.12, 491,214.32 and 194,798.98

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Solution

The fourth proportional to 355,944.12, 491,214.32 and 194,798.98 is: 268,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,944.12 : 491,214.32 = 194,798.98 : x
  2. Step 2: Convert to fraction form
    355,944.12/491,214.32 = 194,798.98/x
  3. Step 3: Cross multiply
    355,944.12x = 491,214.32 × 194,798.98
  4. Step 4: Simplify right side
    355,944.12x = 95,688,047,200.58
  5. Step 5: Solve for x
    x = 95,688,047,200.58/355,944.12
  6. Step 6: Final answer
    x = 268,828.85

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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.