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Finding the Fourth Proportional to 352,912.32, 486,821.88 and 216,851.76

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Solution

The fourth proportional to 352,912.32, 486,821.88 and 216,851.76 is: 299,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,912.32 : 486,821.88 = 216,851.76 : x
  2. Step 2: Convert to fraction form
    352,912.32/486,821.88 = 216,851.76/x
  3. Step 3: Cross multiply
    352,912.32x = 486,821.88 × 216,851.76
  4. Step 4: Simplify right side
    352,912.32x = 105,568,181,484.51
  5. Step 5: Solve for x
    x = 105,568,181,484.51/352,912.32
  6. Step 6: Final answer
    x = 299,134.30

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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.