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Finding the Fourth Proportional to 353,219.80, 529,052.10 and 313,821.40

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Solution

The fourth proportional to 353,219.80, 529,052.10 and 313,821.40 is: 470,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,219.80 : 529,052.10 = 313,821.40 : x
  2. Step 2: Convert to fraction form
    353,219.80/529,052.10 = 313,821.40/x
  3. Step 3: Cross multiply
    353,219.80x = 529,052.10 × 313,821.40
  4. Step 4: Simplify right side
    353,219.80x = 166,027,870,694.94
  5. Step 5: Solve for x
    x = 166,027,870,694.94/353,219.80
  6. Step 6: Final answer
    x = 470,041.23

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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.