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Finding the Fourth Proportional to 538,725.21, 743,440.55 and 309,297.30

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Solution

The fourth proportional to 538,725.21, 743,440.55 and 309,297.30 is: 426,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,725.21 : 743,440.55 = 309,297.30 : x
  2. Step 2: Convert to fraction form
    538,725.21/743,440.55 = 309,297.30/x
  3. Step 3: Cross multiply
    538,725.21x = 743,440.55 × 309,297.30
  4. Step 4: Simplify right side
    538,725.21x = 229,944,152,230.92
  5. Step 5: Solve for x
    x = 229,944,152,230.92/538,725.21
  6. Step 6: Final answer
    x = 426,830.13

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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.