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Finding the Fourth Proportional to 302,806.54, 454,280.12 and 103,128.66

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Solution

The fourth proportional to 302,806.54, 454,280.12 and 103,128.66 is: 154,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,806.54 : 454,280.12 = 103,128.66 : x
  2. Step 2: Convert to fraction form
    302,806.54/454,280.12 = 103,128.66/x
  3. Step 3: Cross multiply
    302,806.54x = 454,280.12 × 103,128.66
  4. Step 4: Simplify right side
    302,806.54x = 46,849,297,768.84
  5. Step 5: Solve for x
    x = 46,849,297,768.84/302,806.54
  6. Step 6: Final answer
    x = 154,716.93

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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.