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Finding the Fourth Proportional to 301,483.96, 449,936.25 and 289,277.44

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Solution

The fourth proportional to 301,483.96, 449,936.25 and 289,277.44 is: 431,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,483.96 : 449,936.25 = 289,277.44 : x
  2. Step 2: Convert to fraction form
    301,483.96/449,936.25 = 289,277.44/x
  3. Step 3: Cross multiply
    301,483.96x = 449,936.25 × 289,277.44
  4. Step 4: Simplify right side
    301,483.96x = 130,156,406,563.20
  5. Step 5: Solve for x
    x = 130,156,406,563.20/301,483.96
  6. Step 6: Final answer
    x = 431,719.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.