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Finding the Fourth Proportional to 355,746.54, 490,941.94 and 194,597.91

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Solution

The fourth proportional to 355,746.54, 490,941.94 and 194,597.91 is: 268,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,746.54 : 490,941.94 = 194,597.91 : x
  2. Step 2: Convert to fraction form
    355,746.54/490,941.94 = 194,597.91/x
  3. Step 3: Cross multiply
    355,746.54x = 490,941.94 × 194,597.91
  4. Step 4: Simplify right side
    355,746.54x = 95,536,272,027.65
  5. Step 5: Solve for x
    x = 95,536,272,027.65/355,746.54
  6. Step 6: Final answer
    x = 268,551.51

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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.