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Finding the Fourth Proportional to 355,606.74, 490,717.44 and 194,429.70

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Solution

The fourth proportional to 355,606.74, 490,717.44 and 194,429.70 is: 268,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,606.74 : 490,717.44 = 194,429.70 : x
  2. Step 2: Convert to fraction form
    355,606.74/490,717.44 = 194,429.70/x
  3. Step 3: Cross multiply
    355,606.74x = 490,717.44 × 194,429.70
  4. Step 4: Simplify right side
    355,606.74x = 95,410,044,643.97
  5. Step 5: Solve for x
    x = 95,410,044,643.97/355,606.74
  6. Step 6: Final answer
    x = 268,302.13

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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.