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Finding the Fourth Proportional to 355,233.71, 490,216.80 and 194,085.30

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Solution

The fourth proportional to 355,233.71, 490,216.80 and 194,085.30 is: 267,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,233.71 : 490,216.80 = 194,085.30 : x
  2. Step 2: Convert to fraction form
    355,233.71/490,216.80 = 194,085.30/x
  3. Step 3: Cross multiply
    355,233.71x = 490,216.80 × 194,085.30
  4. Step 4: Simplify right side
    355,233.71x = 95,143,877,259.17
  5. Step 5: Solve for x
    x = 95,143,877,259.17/355,233.71
  6. Step 6: Final answer
    x = 267,834.59

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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.