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Finding the Fourth Proportional to 397,852.46, 549,043.41 and 216,569.60

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Solution

The fourth proportional to 397,852.46, 549,043.41 and 216,569.60 is: 298,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852.46 : 549,043.41 = 216,569.60 : x
  2. Step 2: Convert to fraction form
    397,852.46/549,043.41 = 216,569.60/x
  3. Step 3: Cross multiply
    397,852.46x = 549,043.41 × 216,569.60
  4. Step 4: Simplify right side
    397,852.46x = 118,906,111,014.32
  5. Step 5: Solve for x
    x = 118,906,111,014.32/397,852.46
  6. Step 6: Final answer
    x = 298,869.86

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1.5x scale

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.