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Finding the Fourth Proportional to 289,943.70, 400,117.41 and 162,616.56

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Solution

The fourth proportional to 289,943.70, 400,117.41 and 162,616.56 is: 224,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,943.70 : 400,117.41 = 162,616.56 : x
  2. Step 2: Convert to fraction form
    289,943.70/400,117.41 = 162,616.56/x
  3. Step 3: Cross multiply
    289,943.70x = 400,117.41 × 162,616.56
  4. Step 4: Simplify right side
    289,943.70x = 65,065,716,810.31
  5. Step 5: Solve for x
    x = 65,065,716,810.31/289,943.70
  6. Step 6: Final answer
    x = 224,408.11

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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.