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Finding the Fourth Proportional to 355,368.33, 490,409.19 and 194,225.31

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Solution

The fourth proportional to 355,368.33, 490,409.19 and 194,225.31 is: 268,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,368.33 : 490,409.19 = 194,225.31 : x
  2. Step 2: Convert to fraction form
    355,368.33/490,409.19 = 194,225.31/x
  3. Step 3: Cross multiply
    355,368.33x = 490,409.19 × 194,225.31
  4. Step 4: Simplify right side
    355,368.33x = 95,249,876,954.60
  5. Step 5: Solve for x
    x = 95,249,876,954.60/355,368.33
  6. Step 6: Final answer
    x = 268,031.42

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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.