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Finding the Fourth Proportional to 494,530.30, 743,435.70 and 429,576.40

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Solution

The fourth proportional to 494,530.30, 743,435.70 and 429,576.40 is: 645,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,530.30 : 743,435.70 = 429,576.40 : x
  2. Step 2: Convert to fraction form
    494,530.30/743,435.70 = 429,576.40/x
  3. Step 3: Cross multiply
    494,530.30x = 743,435.70 × 429,576.40
  4. Step 4: Simplify right side
    494,530.30x = 319,362,431,637.48
  5. Step 5: Solve for x
    x = 319,362,431,637.48/494,530.30
  6. Step 6: Final answer
    x = 645,789.41

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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.