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Finding the Fourth Proportional to 353,033.64, 487,112.94 and 209,741.40

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Solution

The fourth proportional to 353,033.64, 487,112.94 and 209,741.40 is: 289,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,033.64 : 487,112.94 = 209,741.40 : x
  2. Step 2: Convert to fraction form
    353,033.64/487,112.94 = 209,741.40/x
  3. Step 3: Cross multiply
    353,033.64x = 487,112.94 × 209,741.40
  4. Step 4: Simplify right side
    353,033.64x = 102,167,749,993.72
  5. Step 5: Solve for x
    x = 102,167,749,993.72/353,033.64
  6. Step 6: Final answer
    x = 289,399.47

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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.