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Finding the Fourth Proportional to 499,400.96, 749,123.30 and 144,450.86

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Solution

The fourth proportional to 499,400.96, 749,123.30 and 144,450.86 is: 216,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,400.96 : 749,123.30 = 144,450.86 : x
  2. Step 2: Convert to fraction form
    499,400.96/749,123.30 = 144,450.86/x
  3. Step 3: Cross multiply
    499,400.96x = 749,123.30 × 144,450.86
  4. Step 4: Simplify right side
    499,400.96x = 108,211,501,546.55
  5. Step 5: Solve for x
    x = 108,211,501,546.55/499,400.96
  6. Step 6: Final answer
    x = 216,682.61

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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.