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Finding the Fourth Proportional to 354,539.27, 489,252.07 and 211,296.71

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Solution

The fourth proportional to 354,539.27, 489,252.07 and 211,296.71 is: 291,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,539.27 : 489,252.07 = 211,296.71 : x
  2. Step 2: Convert to fraction form
    354,539.27/489,252.07 = 211,296.71/x
  3. Step 3: Cross multiply
    354,539.27x = 489,252.07 × 211,296.71
  4. Step 4: Simplify right side
    354,539.27x = 103,377,352,751.69
  5. Step 5: Solve for x
    x = 103,377,352,751.69/354,539.27
  6. Step 6: Final answer
    x = 291,582.24

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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.