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Finding the Fourth Proportional to 402,153.25, 603,229.39 and 102,633.86

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Solution

The fourth proportional to 402,153.25, 603,229.39 and 102,633.86 is: 153,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,153.25 : 603,229.39 = 102,633.86 : x
  2. Step 2: Convert to fraction form
    402,153.25/603,229.39 = 102,633.86/x
  3. Step 3: Cross multiply
    402,153.25x = 603,229.39 × 102,633.86
  4. Step 4: Simplify right side
    402,153.25x = 61,911,760,761.15
  5. Step 5: Solve for x
    x = 61,911,760,761.15/402,153.25
  6. Step 6: Final answer
    x = 153,950.67

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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.