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Finding the Fourth Proportional to 499,789.86, 749,684.79 and 144,804.12

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Solution

The fourth proportional to 499,789.86, 749,684.79 and 144,804.12 is: 217,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,789.86 : 749,684.79 = 144,804.12 : x
  2. Step 2: Convert to fraction form
    499,789.86/749,684.79 = 144,804.12/x
  3. Step 3: Cross multiply
    499,789.86x = 749,684.79 × 144,804.12
  4. Step 4: Simplify right side
    499,789.86x = 108,557,446,293.34
  5. Step 5: Solve for x
    x = 108,557,446,293.34/499,789.86
  6. Step 6: Final answer
    x = 217,206.18

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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.