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Finding the Fourth Proportional to 290,284.26, 400,564.89 and 162,934.98

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Solution

The fourth proportional to 290,284.26, 400,564.89 and 162,934.98 is: 224,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,284.26 : 400,564.89 = 162,934.98 : x
  2. Step 2: Convert to fraction form
    290,284.26/400,564.89 = 162,934.98/x
  3. Step 3: Cross multiply
    290,284.26x = 400,564.89 × 162,934.98
  4. Step 4: Simplify right side
    290,284.26x = 65,266,032,340.85
  5. Step 5: Solve for x
    x = 65,266,032,340.85/290,284.26
  6. Step 6: Final answer
    x = 224,834.90

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1.5x scale

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.