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Finding the Fourth Proportional to 402,648.30, 603,529.56 and 165,861.81

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Solution

The fourth proportional to 402,648.30, 603,529.56 and 165,861.81 is: 248,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,648.30 : 603,529.56 = 165,861.81 : x
  2. Step 2: Convert to fraction form
    402,648.30/603,529.56 = 165,861.81/x
  3. Step 3: Cross multiply
    402,648.30x = 603,529.56 × 165,861.81
  4. Step 4: Simplify right side
    402,648.30x = 100,102,505,210.10
  5. Step 5: Solve for x
    x = 100,102,505,210.10/402,648.30
  6. Step 6: Final answer
    x = 248,610.28

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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.