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Finding the Fourth Proportional to 456,453.54, 684,742.62 and 190,151.78

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Solution

The fourth proportional to 456,453.54, 684,742.62 and 190,151.78 is: 285,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,453.54 : 684,742.62 = 190,151.78 : x
  2. Step 2: Convert to fraction form
    456,453.54/684,742.62 = 190,151.78/x
  3. Step 3: Cross multiply
    456,453.54x = 684,742.62 × 190,151.78
  4. Step 4: Simplify right side
    456,453.54x = 130,205,025,847.63
  5. Step 5: Solve for x
    x = 130,205,025,847.63/456,453.54
  6. Step 6: Final answer
    x = 285,253.62

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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.