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Finding the Fourth Proportional to 648,000, 894,240 and 379,728

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Solution

The fourth proportional to 648,000, 894,240 and 379,728 is: 524,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,000 : 894,240 = 379,728 : x
  2. Step 2: Convert to fraction form
    648,000/894,240 = 379,728/x
  3. Step 3: Cross multiply
    648,000x = 894,240 × 379,728
  4. Step 4: Simplify right side
    648,000x = 339,567,966,720
  5. Step 5: Solve for x
    x = 339,567,966,720/648,000
  6. Step 6: Final answer
    x = 524,024.64

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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.