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Finding the Fourth Proportional to 290,160.28, 400,423.53 and 162,865.90

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Solution

The fourth proportional to 290,160.28, 400,423.53 and 162,865.90 is: 224,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,160.28 : 400,423.53 = 162,865.90 : x
  2. Step 2: Convert to fraction form
    290,160.28/400,423.53 = 162,865.90/x
  3. Step 3: Cross multiply
    290,160.28x = 400,423.53 × 162,865.90
  4. Step 4: Simplify right side
    290,160.28x = 65,215,338,594.63
  5. Step 5: Solve for x
    x = 65,215,338,594.63/290,160.28
  6. Step 6: Final answer
    x = 224,756.26

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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.