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Finding the Fourth Proportional to 538,400, 743,007.90 and 296,698.08

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Solution

The fourth proportional to 538,400, 743,007.90 and 296,698.08 is: 409,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,400 : 743,007.90 = 296,698.08 : x
  2. Step 2: Convert to fraction form
    538,400/743,007.90 = 296,698.08/x
  3. Step 3: Cross multiply
    538,400x = 743,007.90 × 296,698.08
  4. Step 4: Simplify right side
    538,400x = 220,449,017,354.83
  5. Step 5: Solve for x
    x = 220,449,017,354.83/538,400
  6. Step 6: Final answer
    x = 409,452.11

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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.