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Finding the Fourth Proportional to 402,385.92, 603,862.47 and 189,163.50

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Solution

The fourth proportional to 402,385.92, 603,862.47 and 189,163.50 is: 283,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,385.92 : 603,862.47 = 189,163.50 : x
  2. Step 2: Convert to fraction form
    402,385.92/603,862.47 = 189,163.50/x
  3. Step 3: Cross multiply
    402,385.92x = 603,862.47 × 189,163.50
  4. Step 4: Simplify right side
    402,385.92x = 114,228,738,343.85
  5. Step 5: Solve for x
    x = 114,228,738,343.85/402,385.92
  6. Step 6: Final answer
    x = 283,878.57

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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.