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Finding the Fourth Proportional to 290,223.64, 400,486.65 and 162,874.63

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Solution

The fourth proportional to 290,223.64, 400,486.65 and 162,874.63 is: 224,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,223.64 : 400,486.65 = 162,874.63 : x
  2. Step 2: Convert to fraction form
    290,223.64/400,486.65 = 162,874.63/x
  3. Step 3: Cross multiply
    290,223.64x = 400,486.65 × 162,874.63
  4. Step 4: Simplify right side
    290,223.64x = 65,229,112,121.88
  5. Step 5: Solve for x
    x = 65,229,112,121.88/290,223.64
  6. Step 6: Final answer
    x = 224,754.65

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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.