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Finding the Fourth Proportional to 402,190.38, 603,285.36 and 102,670.85

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Solution

The fourth proportional to 402,190.38, 603,285.36 and 102,670.85 is: 154,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,190.38 : 603,285.36 = 102,670.85 : x
  2. Step 2: Convert to fraction form
    402,190.38/603,285.36 = 102,670.85/x
  3. Step 3: Cross multiply
    402,190.38x = 603,285.36 × 102,670.85
  4. Step 4: Simplify right side
    402,190.38x = 61,939,821,826.95
  5. Step 5: Solve for x
    x = 61,939,821,826.95/402,190.38
  6. Step 6: Final answer
    x = 154,006.22

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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.