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Finding the Fourth Proportional to 522,821.40, 783,195.30 and 311,832.60

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Solution

The fourth proportional to 522,821.40, 783,195.30 and 311,832.60 is: 467,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,821.40 : 783,195.30 = 311,832.60 : x
  2. Step 2: Convert to fraction form
    522,821.40/783,195.30 = 311,832.60/x
  3. Step 3: Cross multiply
    522,821.40x = 783,195.30 × 311,832.60
  4. Step 4: Simplify right side
    522,821.40x = 244,225,826,706.78
  5. Step 5: Solve for x
    x = 244,225,826,706.78/522,821.40
  6. Step 6: Final answer
    x = 467,130.51

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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.