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Finding the Fourth Proportional to 290,321.84, 400,621.92 and 162,973.28

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Solution

The fourth proportional to 290,321.84, 400,621.92 and 162,973.28 is: 224,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,321.84 : 400,621.92 = 162,973.28 : x
  2. Step 2: Convert to fraction form
    290,321.84/400,621.92 = 162,973.28/x
  3. Step 3: Cross multiply
    290,321.84x = 400,621.92 × 162,973.28
  4. Step 4: Simplify right side
    290,321.84x = 65,290,668,342.30
  5. Step 5: Solve for x
    x = 65,290,668,342.30/290,321.84
  6. Step 6: Final answer
    x = 224,890.65

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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.