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Finding the Fourth Proportional to 450,715.17, 622,408.41 and 289,849.50

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Solution

The fourth proportional to 450,715.17, 622,408.41 and 289,849.50 is: 400,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,715.17 : 622,408.41 = 289,849.50 : x
  2. Step 2: Convert to fraction form
    450,715.17/622,408.41 = 289,849.50/x
  3. Step 3: Cross multiply
    450,715.17x = 622,408.41 × 289,849.50
  4. Step 4: Simplify right side
    450,715.17x = 180,404,766,434.30
  5. Step 5: Solve for x
    x = 180,404,766,434.30/450,715.17
  6. Step 6: Final answer
    x = 400,263.36

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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.