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Finding the Fourth Proportional to 393,483, 543,006.54 and 214,635

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Solution

The fourth proportional to 393,483, 543,006.54 and 214,635 is: 296,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,483 : 543,006.54 = 214,635 : x
  2. Step 2: Convert to fraction form
    393,483/543,006.54 = 214,635/x
  3. Step 3: Cross multiply
    393,483x = 543,006.54 × 214,635
  4. Step 4: Simplify right side
    393,483x = 116,548,208,712.90
  5. Step 5: Solve for x
    x = 116,548,208,712.90/393,483
  6. Step 6: Final answer
    x = 296,196.30

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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.