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Finding the Fourth Proportional to 290,283.76, 400,564.20 and 162,934.48

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Solution

The fourth proportional to 290,283.76, 400,564.20 and 162,934.48 is: 224,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,283.76 : 400,564.20 = 162,934.48 : x
  2. Step 2: Convert to fraction form
    290,283.76/400,564.20 = 162,934.48/x
  3. Step 3: Cross multiply
    290,283.76x = 400,564.20 × 162,934.48
  4. Step 4: Simplify right side
    290,283.76x = 65,265,719,633.62
  5. Step 5: Solve for x
    x = 65,265,719,633.62/290,283.76
  6. Step 6: Final answer
    x = 224,834.21

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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.