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Finding the Fourth Proportional to 393,347.66, 589,858.82 and 123,385.75

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Solution

The fourth proportional to 393,347.66, 589,858.82 and 123,385.75 is: 185,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,347.66 : 589,858.82 = 123,385.75 : x
  2. Step 2: Convert to fraction form
    393,347.66/589,858.82 = 123,385.75/x
  3. Step 3: Cross multiply
    393,347.66x = 589,858.82 × 123,385.75
  4. Step 4: Simplify right side
    393,347.66x = 72,780,173,208.28
  5. Step 5: Solve for x
    x = 72,780,173,208.28/393,347.66
  6. Step 6: Final answer
    x = 185,027.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.