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Finding the Fourth Proportional to 353,264.36, 487,333.26 and 209,922.91

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Solution

The fourth proportional to 353,264.36, 487,333.26 and 209,922.91 is: 289,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,264.36 : 487,333.26 = 209,922.91 : x
  2. Step 2: Convert to fraction form
    353,264.36/487,333.26 = 209,922.91/x
  3. Step 3: Cross multiply
    353,264.36x = 487,333.26 × 209,922.91
  4. Step 4: Simplify right side
    353,264.36x = 102,302,414,860.65
  5. Step 5: Solve for x
    x = 102,302,414,860.65/353,264.36
  6. Step 6: Final answer
    x = 289,591.67

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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.