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Finding the Fourth Proportional to 314,086.57, 470,942.60 and 213,008.90

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Solution

The fourth proportional to 314,086.57, 470,942.60 and 213,008.90 is: 319,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,086.57 : 470,942.60 = 213,008.90 : x
  2. Step 2: Convert to fraction form
    314,086.57/470,942.60 = 213,008.90/x
  3. Step 3: Cross multiply
    314,086.57x = 470,942.60 × 213,008.90
  4. Step 4: Simplify right side
    314,086.57x = 100,314,964,418.44
  5. Step 5: Solve for x
    x = 100,314,964,418.44/314,086.57
  6. Step 6: Final answer
    x = 319,386.35

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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.