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Finding the Fourth Proportional to 402,648.07, 603,529.21 and 165,861.58

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Solution

The fourth proportional to 402,648.07, 603,529.21 and 165,861.58 is: 248,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,648.07 : 603,529.21 = 165,861.58 : x
  2. Step 2: Convert to fraction form
    402,648.07/603,529.21 = 165,861.58/x
  3. Step 3: Cross multiply
    402,648.07x = 603,529.21 × 165,861.58
  4. Step 4: Simplify right side
    402,648.07x = 100,102,308,346.75
  5. Step 5: Solve for x
    x = 100,102,308,346.75/402,648.07
  6. Step 6: Final answer
    x = 248,609.93

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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.