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Finding the Fourth Proportional to 329,048.40, 493,572.60 and 311,941.20

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Solution

The fourth proportional to 329,048.40, 493,572.60 and 311,941.20 is: 467,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,048.40 : 493,572.60 = 311,941.20 : x
  2. Step 2: Convert to fraction form
    329,048.40/493,572.60 = 311,941.20/x
  3. Step 3: Cross multiply
    329,048.40x = 493,572.60 × 311,941.20
  4. Step 4: Simplify right side
    329,048.40x = 153,965,629,131.12
  5. Step 5: Solve for x
    x = 153,965,629,131.12/329,048.40
  6. Step 6: Final answer
    x = 467,911.80

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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.