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Finding the Fourth Proportional to 290,129.82, 400,382.16 and 162,802.68

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Solution

The fourth proportional to 290,129.82, 400,382.16 and 162,802.68 is: 224,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,129.82 : 400,382.16 = 162,802.68 : x
  2. Step 2: Convert to fraction form
    290,129.82/400,382.16 = 162,802.68/x
  3. Step 3: Cross multiply
    290,129.82x = 400,382.16 × 162,802.68
  4. Step 4: Simplify right side
    290,129.82x = 65,183,288,672.19
  5. Step 5: Solve for x
    x = 65,183,288,672.19/290,129.82
  6. Step 6: Final answer
    x = 224,669.39

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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.