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Finding the Fourth Proportional to 330,998.40, 456,645.60 and 216,237.60

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Solution

The fourth proportional to 330,998.40, 456,645.60 and 216,237.60 is: 298,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,998.40 : 456,645.60 = 216,237.60 : x
  2. Step 2: Convert to fraction form
    330,998.40/456,645.60 = 216,237.60/x
  3. Step 3: Cross multiply
    330,998.40x = 456,645.60 × 216,237.60
  4. Step 4: Simplify right side
    330,998.40x = 98,743,948,594.56
  5. Step 5: Solve for x
    x = 98,743,948,594.56/330,998.40
  6. Step 6: Final answer
    x = 298,321.53

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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.