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Finding the Fourth Proportional to 302,583.40, 454,020.90 and 213,645.40

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Solution

The fourth proportional to 302,583.40, 454,020.90 and 213,645.40 is: 320,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,583.40 : 454,020.90 = 213,645.40 : x
  2. Step 2: Convert to fraction form
    302,583.40/454,020.90 = 213,645.40/x
  3. Step 3: Cross multiply
    302,583.40x = 454,020.90 × 213,645.40
  4. Step 4: Simplify right side
    302,583.40x = 96,999,476,788.86
  5. Step 5: Solve for x
    x = 96,999,476,788.86/302,583.40
  6. Step 6: Final answer
    x = 320,571.05

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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.