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Finding the Fourth Proportional to 302,950.85, 418,074.95 and 166,990.01

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Solution

The fourth proportional to 302,950.85, 418,074.95 and 166,990.01 is: 230,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,950.85 : 418,074.95 = 166,990.01 : x
  2. Step 2: Convert to fraction form
    302,950.85/418,074.95 = 166,990.01/x
  3. Step 3: Cross multiply
    302,950.85x = 418,074.95 × 166,990.01
  4. Step 4: Simplify right side
    302,950.85x = 69,814,337,155.92
  5. Step 5: Solve for x
    x = 69,814,337,155.92/302,950.85
  6. Step 6: Final answer
    x = 230,447.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.