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Finding the Fourth Proportional to 290,158.52, 400,418.98 and 162,834.11

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Solution

The fourth proportional to 290,158.52, 400,418.98 and 162,834.11 is: 224,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,158.52 : 400,418.98 = 162,834.11 : x
  2. Step 2: Convert to fraction form
    290,158.52/400,418.98 = 162,834.11/x
  3. Step 3: Cross multiply
    290,158.52x = 400,418.98 × 162,834.11
  4. Step 4: Simplify right side
    290,158.52x = 65,201,865,826.23
  5. Step 5: Solve for x
    x = 65,201,865,826.23/290,158.52
  6. Step 6: Final answer
    x = 224,711.19

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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.