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Finding the Fourth Proportional to 318,586.58, 477,612.02 and 213,083.54

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Solution

The fourth proportional to 318,586.58, 477,612.02 and 213,083.54 is: 319,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,586.58 : 477,612.02 = 213,083.54 : x
  2. Step 2: Convert to fraction form
    318,586.58/477,612.02 = 213,083.54/x
  3. Step 3: Cross multiply
    318,586.58x = 477,612.02 × 213,083.54
  4. Step 4: Simplify right side
    318,586.58x = 101,771,259,968.15
  5. Step 5: Solve for x
    x = 101,771,259,968.15/318,586.58
  6. Step 6: Final answer
    x = 319,446.16

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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.