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Finding the Fourth Proportional to 393,076.96, 542,460.72 and 223,339.84

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Solution

The fourth proportional to 393,076.96, 542,460.72 and 223,339.84 is: 308,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,076.96 : 542,460.72 = 223,339.84 : x
  2. Step 2: Convert to fraction form
    393,076.96/542,460.72 = 223,339.84/x
  3. Step 3: Cross multiply
    393,076.96x = 542,460.72 × 223,339.84
  4. Step 4: Simplify right side
    393,076.96x = 121,153,090,411.09
  5. Step 5: Solve for x
    x = 121,153,090,411.09/393,076.96
  6. Step 6: Final answer
    x = 308,217.23

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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.