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Finding the Fourth Proportional to 290,143.54, 400,426.86 and 162,819.64

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Solution

The fourth proportional to 290,143.54, 400,426.86 and 162,819.64 is: 224,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,143.54 : 400,426.86 = 162,819.64 : x
  2. Step 2: Convert to fraction form
    290,143.54/400,426.86 = 162,819.64/x
  3. Step 3: Cross multiply
    290,143.54x = 400,426.86 × 162,819.64
  4. Step 4: Simplify right side
    290,143.54x = 65,197,357,386.78
  5. Step 5: Solve for x
    x = 65,197,357,386.78/290,143.54
  6. Step 6: Final answer
    x = 224,707.25

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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.