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Finding the Fourth Proportional to 302,806.44, 454,280 and 103,128.53

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Solution

The fourth proportional to 302,806.44, 454,280 and 103,128.53 is: 154,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,806.44 : 454,280 = 103,128.53 : x
  2. Step 2: Convert to fraction form
    302,806.44/454,280 = 103,128.53/x
  3. Step 3: Cross multiply
    302,806.44x = 454,280 × 103,128.53
  4. Step 4: Simplify right side
    302,806.44x = 46,849,228,608.40
  5. Step 5: Solve for x
    x = 46,849,228,608.40/302,806.44
  6. Step 6: Final answer
    x = 154,716.75

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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.