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Finding the Fourth Proportional to 290,145.54, 400,429.62 and 162,821.64

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Solution

The fourth proportional to 290,145.54, 400,429.62 and 162,821.64 is: 224,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,145.54 : 400,429.62 = 162,821.64 : x
  2. Step 2: Convert to fraction form
    290,145.54/400,429.62 = 162,821.64/x
  3. Step 3: Cross multiply
    290,145.54x = 400,429.62 × 162,821.64
  4. Step 4: Simplify right side
    290,145.54x = 65,198,607,432.98
  5. Step 5: Solve for x
    x = 65,198,607,432.98/290,145.54
  6. Step 6: Final answer
    x = 224,710.01

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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.