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Finding the Fourth Proportional to 313,964.20, 470,946.30 and 214,431.40

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Solution

The fourth proportional to 313,964.20, 470,946.30 and 214,431.40 is: 321,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,964.20 : 470,946.30 = 214,431.40 : x
  2. Step 2: Convert to fraction form
    313,964.20/470,946.30 = 214,431.40/x
  3. Step 3: Cross multiply
    313,964.20x = 470,946.30 × 214,431.40
  4. Step 4: Simplify right side
    313,964.20x = 100,985,674,433.82
  5. Step 5: Solve for x
    x = 100,985,674,433.82/313,964.20
  6. Step 6: Final answer
    x = 321,647.10

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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.