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Finding the Fourth Proportional to 329,512.60, 493,612.80 and 189,107.20

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Solution

The fourth proportional to 329,512.60, 493,612.80 and 189,107.20 is: 283,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,512.60 : 493,612.80 = 189,107.20 : x
  2. Step 2: Convert to fraction form
    329,512.60/493,612.80 = 189,107.20/x
  3. Step 3: Cross multiply
    329,512.60x = 493,612.80 × 189,107.20
  4. Step 4: Simplify right side
    329,512.60x = 93,345,734,492.16
  5. Step 5: Solve for x
    x = 93,345,734,492.16/329,512.60
  6. Step 6: Final answer
    x = 283,284.26

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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.