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Finding the Fourth Proportional to 355,702.47, 490,873.21 and 194,554.05

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Solution

The fourth proportional to 355,702.47, 490,873.21 and 194,554.05 is: 268,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,702.47 : 490,873.21 = 194,554.05 : x
  2. Step 2: Convert to fraction form
    355,702.47/490,873.21 = 194,554.05/x
  3. Step 3: Cross multiply
    355,702.47x = 490,873.21 × 194,554.05
  4. Step 4: Simplify right side
    355,702.47x = 95,501,371,042.00
  5. Step 5: Solve for x
    x = 95,501,371,042.00/355,702.47
  6. Step 6: Final answer
    x = 268,486.67

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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.