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Finding the Fourth Proportional to 499,403.96, 749,127.81 and 144,453.86

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Solution

The fourth proportional to 499,403.96, 749,127.81 and 144,453.86 is: 216,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,403.96 : 749,127.81 = 144,453.86 : x
  2. Step 2: Convert to fraction form
    499,403.96/749,127.81 = 144,453.86/x
  3. Step 3: Cross multiply
    499,403.96x = 749,127.81 × 144,453.86
  4. Step 4: Simplify right side
    499,403.96x = 108,214,400,042.21
  5. Step 5: Solve for x
    x = 108,214,400,042.21/499,403.96
  6. Step 6: Final answer
    x = 216,687.11

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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.