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Finding the Fourth Proportional to 397,852.82, 549,043.89 and 216,569.96

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Solution

The fourth proportional to 397,852.82, 549,043.89 and 216,569.96 is: 298,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852.82 : 549,043.89 = 216,569.96 : x
  2. Step 2: Convert to fraction form
    397,852.82/549,043.89 = 216,569.96/x
  3. Step 3: Cross multiply
    397,852.82x = 549,043.89 × 216,569.96
  4. Step 4: Simplify right side
    397,852.82x = 118,906,413,295.54
  5. Step 5: Solve for x
    x = 118,906,413,295.54/397,852.82
  6. Step 6: Final answer
    x = 298,870.35

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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.