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Finding the Fourth Proportional to 318,518.64, 477,673.32 and 141,021.84

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Solution

The fourth proportional to 318,518.64, 477,673.32 and 141,021.84 is: 211,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,518.64 : 477,673.32 = 141,021.84 : x
  2. Step 2: Convert to fraction form
    318,518.64/477,673.32 = 141,021.84/x
  3. Step 3: Cross multiply
    318,518.64x = 477,673.32 × 141,021.84
  4. Step 4: Simplify right side
    318,518.64x = 67,362,370,505.31
  5. Step 5: Solve for x
    x = 67,362,370,505.31/318,518.64
  6. Step 6: Final answer
    x = 211,486.43

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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.