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Finding the Fourth Proportional to 355,712.66, 490,887.34 and 194,564.18

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Solution

The fourth proportional to 355,712.66, 490,887.34 and 194,564.18 is: 268,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,712.66 : 490,887.34 = 194,564.18 : x
  2. Step 2: Convert to fraction form
    355,712.66/490,887.34 = 194,564.18/x
  3. Step 3: Cross multiply
    355,712.66x = 490,887.34 × 194,564.18
  4. Step 4: Simplify right side
    355,712.66x = 95,509,090,759.05
  5. Step 5: Solve for x
    x = 95,509,090,759.05/355,712.66
  6. Step 6: Final answer
    x = 268,500.68

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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.