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Finding the Fourth Proportional to 290,153.70, 400,412.52 and 162,829.44

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Solution

The fourth proportional to 290,153.70, 400,412.52 and 162,829.44 is: 224,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,153.70 : 400,412.52 = 162,829.44 : x
  2. Step 2: Convert to fraction form
    290,153.70/400,412.52 = 162,829.44/x
  3. Step 3: Cross multiply
    290,153.70x = 400,412.52 × 162,829.44
  4. Step 4: Simplify right side
    290,153.70x = 65,198,946,400.59
  5. Step 5: Solve for x
    x = 65,198,946,400.59/290,153.70
  6. Step 6: Final answer
    x = 224,704.86

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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.