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Finding the Fourth Proportional to 290,041.71, 400,255.88 and 162,717

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Solution

The fourth proportional to 290,041.71, 400,255.88 and 162,717 is: 224,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,041.71 : 400,255.88 = 162,717 : x
  2. Step 2: Convert to fraction form
    290,041.71/400,255.88 = 162,717/x
  3. Step 3: Cross multiply
    290,041.71x = 400,255.88 × 162,717
  4. Step 4: Simplify right side
    290,041.71x = 65,128,435,212.38
  5. Step 5: Solve for x
    x = 65,128,435,212.38/290,041.71
  6. Step 6: Final answer
    x = 224,548.51

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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.