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Finding the Fourth Proportional to 456,119, 684,201.18 and 323,149.40

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Solution

The fourth proportional to 456,119, 684,201.18 and 323,149.40 is: 484,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,119 : 684,201.18 = 323,149.40 : x
  2. Step 2: Convert to fraction form
    456,119/684,201.18 = 323,149.40/x
  3. Step 3: Cross multiply
    456,119x = 684,201.18 × 323,149.40
  4. Step 4: Simplify right side
    456,119x = 221,099,200,796.29
  5. Step 5: Solve for x
    x = 221,099,200,796.29/456,119
  6. Step 6: Final answer
    x = 484,740.17

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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.