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Finding the Fourth Proportional to 486,932.50, 730,168.84 and 284,586.63

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Solution

The fourth proportional to 486,932.50, 730,168.84 and 284,586.63 is: 426,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,932.50 : 730,168.84 = 284,586.63 : x
  2. Step 2: Convert to fraction form
    486,932.50/730,168.84 = 284,586.63/x
  3. Step 3: Cross multiply
    486,932.50x = 730,168.84 × 284,586.63
  4. Step 4: Simplify right side
    486,932.50x = 207,796,289,506.61
  5. Step 5: Solve for x
    x = 207,796,289,506.61/486,932.50
  6. Step 6: Final answer
    x = 426,745.57

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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.