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Finding the Fourth Proportional to 389,104.88, 583,675.22 and 119,213.69

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Solution

The fourth proportional to 389,104.88, 583,675.22 and 119,213.69 is: 178,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,104.88 : 583,675.22 = 119,213.69 : x
  2. Step 2: Convert to fraction form
    389,104.88/583,675.22 = 119,213.69/x
  3. Step 3: Cross multiply
    389,104.88x = 583,675.22 × 119,213.69
  4. Step 4: Simplify right side
    389,104.88x = 69,582,076,730.02
  5. Step 5: Solve for x
    x = 69,582,076,730.02/389,104.88
  6. Step 6: Final answer
    x = 178,826.02

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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.