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Finding the Fourth Proportional to 398,059.84, 548,742.24 and 302,400.48

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Solution

The fourth proportional to 398,059.84, 548,742.24 and 302,400.48 is: 416,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,059.84 : 548,742.24 = 302,400.48 : x
  2. Step 2: Convert to fraction form
    398,059.84/548,742.24 = 302,400.48/x
  3. Step 3: Cross multiply
    398,059.84x = 548,742.24 × 302,400.48
  4. Step 4: Simplify right side
    398,059.84x = 165,939,916,772.28
  5. Step 5: Solve for x
    x = 165,939,916,772.28/398,059.84
  6. Step 6: Final answer
    x = 416,871.79

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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.