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Finding the Fourth Proportional to 456,321.60, 684,420.30 and 119,388.60

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Solution

The fourth proportional to 456,321.60, 684,420.30 and 119,388.60 is: 179,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,321.60 : 684,420.30 = 119,388.60 : x
  2. Step 2: Convert to fraction form
    456,321.60/684,420.30 = 119,388.60/x
  3. Step 3: Cross multiply
    456,321.60x = 684,420.30 × 119,388.60
  4. Step 4: Simplify right side
    456,321.60x = 81,711,981,428.58
  5. Step 5: Solve for x
    x = 81,711,981,428.58/456,321.60
  6. Step 6: Final answer
    x = 179,066.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.