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Finding the Fourth Proportional to 353,144.88, 487,287.48 and 209,853.36

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Solution

The fourth proportional to 353,144.88, 487,287.48 and 209,853.36 is: 289,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,144.88 : 487,287.48 = 209,853.36 : x
  2. Step 2: Convert to fraction form
    353,144.88/487,287.48 = 209,853.36/x
  3. Step 3: Cross multiply
    353,144.88x = 487,287.48 × 209,853.36
  4. Step 4: Simplify right side
    353,144.88x = 102,258,914,963.93
  5. Step 5: Solve for x
    x = 102,258,914,963.93/353,144.88
  6. Step 6: Final answer
    x = 289,566.47

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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.