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Finding the Fourth Proportional to 393,702, 543,308.76 and 214,854

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Solution

The fourth proportional to 393,702, 543,308.76 and 214,854 is: 296,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,702 : 543,308.76 = 214,854 : x
  2. Step 2: Convert to fraction form
    393,702/543,308.76 = 214,854/x
  3. Step 3: Cross multiply
    393,702x = 543,308.76 × 214,854
  4. Step 4: Simplify right side
    393,702x = 116,732,060,321.04
  5. Step 5: Solve for x
    x = 116,732,060,321.04/393,702
  6. Step 6: Final answer
    x = 296,498.52

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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.