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Finding the Fourth Proportional to 323,828.60, 485,742.90 and 304,129.40

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Solution

The fourth proportional to 323,828.60, 485,742.90 and 304,129.40 is: 456,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,828.60 : 485,742.90 = 304,129.40 : x
  2. Step 2: Convert to fraction form
    323,828.60/485,742.90 = 304,129.40/x
  3. Step 3: Cross multiply
    323,828.60x = 485,742.90 × 304,129.40
  4. Step 4: Simplify right side
    323,828.60x = 147,728,696,731.26
  5. Step 5: Solve for x
    x = 147,728,696,731.26/323,828.60
  6. Step 6: Final answer
    x = 456,194.10

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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.