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Finding the Fourth Proportional to 323,729.40, 485,594.10 and 292,236.60

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Solution

The fourth proportional to 323,729.40, 485,594.10 and 292,236.60 is: 438,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,729.40 : 485,594.10 = 292,236.60 : x
  2. Step 2: Convert to fraction form
    323,729.40/485,594.10 = 292,236.60/x
  3. Step 3: Cross multiply
    323,729.40x = 485,594.10 × 292,236.60
  4. Step 4: Simplify right side
    323,729.40x = 141,908,368,764.06
  5. Step 5: Solve for x
    x = 141,908,368,764.06/323,729.40
  6. Step 6: Final answer
    x = 438,354.90

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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.