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Finding the Fourth Proportional to 393,347.54, 589,858.64 and 123,385.63

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Solution

The fourth proportional to 393,347.54, 589,858.64 and 123,385.63 is: 185,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,347.54 : 589,858.64 = 123,385.63 : x
  2. Step 2: Convert to fraction form
    393,347.54/589,858.64 = 123,385.63/x
  3. Step 3: Cross multiply
    393,347.54x = 589,858.64 × 123,385.63
  4. Step 4: Simplify right side
    393,347.54x = 72,780,076,341.12
  5. Step 5: Solve for x
    x = 72,780,076,341.12/393,347.54
  6. Step 6: Final answer
    x = 185,027.41

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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.