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Finding the Fourth Proportional to 329,575, 494,362.18 and 285,069.44

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Solution

The fourth proportional to 329,575, 494,362.18 and 285,069.44 is: 427,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,575 : 494,362.18 = 285,069.44 : x
  2. Step 2: Convert to fraction form
    329,575/494,362.18 = 285,069.44/x
  3. Step 3: Cross multiply
    329,575x = 494,362.18 × 285,069.44
  4. Step 4: Simplify right side
    329,575x = 140,927,549,809.78
  5. Step 5: Solve for x
    x = 140,927,549,809.78/329,575
  6. Step 6: Final answer
    x = 427,603.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.