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Finding the Fourth Proportional to 321,912.99, 482,874.06 and 97,275.30

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Solution

The fourth proportional to 321,912.99, 482,874.06 and 97,275.30 is: 145,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,912.99 : 482,874.06 = 97,275.30 : x
  2. Step 2: Convert to fraction form
    321,912.99/482,874.06 = 97,275.30/x
  3. Step 3: Cross multiply
    321,912.99x = 482,874.06 × 97,275.30
  4. Step 4: Simplify right side
    321,912.99x = 46,971,719,048.72
  5. Step 5: Solve for x
    x = 46,971,719,048.72/321,912.99
  6. Step 6: Final answer
    x = 145,914.33

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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.