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Finding the Fourth Proportional to 395,612.08, 545,945.24 and 234,546

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Solution

The fourth proportional to 395,612.08, 545,945.24 and 234,546 is: 323,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,612.08 : 545,945.24 = 234,546 : x
  2. Step 2: Convert to fraction form
    395,612.08/545,945.24 = 234,546/x
  3. Step 3: Cross multiply
    395,612.08x = 545,945.24 × 234,546
  4. Step 4: Simplify right side
    395,612.08x = 128,049,272,261.04
  5. Step 5: Solve for x
    x = 128,049,272,261.04/395,612.08
  6. Step 6: Final answer
    x = 323,673.82

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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.