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Finding the Fourth Proportional to 353,615.31, 487,949.16 and 208,411.65

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Solution

The fourth proportional to 353,615.31, 487,949.16 and 208,411.65 is: 287,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,615.31 : 487,949.16 = 208,411.65 : x
  2. Step 2: Convert to fraction form
    353,615.31/487,949.16 = 208,411.65/x
  3. Step 3: Cross multiply
    353,615.31x = 487,949.16 × 208,411.65
  4. Step 4: Simplify right side
    353,615.31x = 101,694,289,551.71
  5. Step 5: Solve for x
    x = 101,694,289,551.71/353,615.31
  6. Step 6: Final answer
    x = 287,584.52

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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.