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Finding the Fourth Proportional to 329,438.16, 494,274.96 and 129,647.88

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Solution

The fourth proportional to 329,438.16, 494,274.96 and 129,647.88 is: 194,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,438.16 : 494,274.96 = 129,647.88 : x
  2. Step 2: Convert to fraction form
    329,438.16/494,274.96 = 129,647.88/x
  3. Step 3: Cross multiply
    329,438.16x = 494,274.96 × 129,647.88
  4. Step 4: Simplify right side
    329,438.16x = 64,081,700,701.08
  5. Step 5: Solve for x
    x = 64,081,700,701.08/329,438.16
  6. Step 6: Final answer
    x = 194,518.15

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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.