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Finding the Fourth Proportional to 329,507.70, 494,261.58 and 285,002.28

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Solution

The fourth proportional to 329,507.70, 494,261.58 and 285,002.28 is: 427,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,507.70 : 494,261.58 = 285,002.28 : x
  2. Step 2: Convert to fraction form
    329,507.70/494,261.58 = 285,002.28/x
  3. Step 3: Cross multiply
    329,507.70x = 494,261.58 × 285,002.28
  4. Step 4: Simplify right side
    329,507.70x = 140,865,677,216.40
  5. Step 5: Solve for x
    x = 140,865,677,216.40/329,507.70
  6. Step 6: Final answer
    x = 427,503.45

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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.