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Finding the Fourth Proportional to 290,155.09, 400,431.80 and 162,830.70

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Solution

The fourth proportional to 290,155.09, 400,431.80 and 162,830.70 is: 224,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,155.09 : 400,431.80 = 162,830.70 : x
  2. Step 2: Convert to fraction form
    290,155.09/400,431.80 = 162,830.70/x
  3. Step 3: Cross multiply
    290,155.09x = 400,431.80 × 162,830.70
  4. Step 4: Simplify right side
    290,155.09x = 65,202,590,296.26
  5. Step 5: Solve for x
    x = 65,202,590,296.26/290,155.09
  6. Step 6: Final answer
    x = 224,716.34

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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.