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Finding the Fourth Proportional to 398,022.30, 548,690.49 and 302,362.92

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Solution

The fourth proportional to 398,022.30, 548,690.49 and 302,362.92 is: 416,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,022.30 : 548,690.49 = 302,362.92 : x
  2. Step 2: Convert to fraction form
    398,022.30/548,690.49 = 302,362.92/x
  3. Step 3: Cross multiply
    398,022.30x = 548,690.49 × 302,362.92
  4. Step 4: Simplify right side
    398,022.30x = 165,903,658,732.63
  5. Step 5: Solve for x
    x = 165,903,658,732.63/398,022.30
  6. Step 6: Final answer
    x = 416,820.01

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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.