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Finding the Fourth Proportional to 353,017.82, 487,235.49 and 209,750.33

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Solution

The fourth proportional to 353,017.82, 487,235.49 and 209,750.33 is: 289,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,017.82 : 487,235.49 = 209,750.33 : x
  2. Step 2: Convert to fraction form
    353,017.82/487,235.49 = 209,750.33/x
  3. Step 3: Cross multiply
    353,017.82x = 487,235.49 × 209,750.33
  4. Step 4: Simplify right side
    353,017.82x = 102,197,804,815.21
  5. Step 5: Solve for x
    x = 102,197,804,815.21/353,017.82
  6. Step 6: Final answer
    x = 289,497.58

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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.