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Finding the Fourth Proportional to 500,144.63, 690,199.58 and 273,790.13

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Solution

The fourth proportional to 500,144.63, 690,199.58 and 273,790.13 is: 377,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,144.63 : 690,199.58 = 273,790.13 : x
  2. Step 2: Convert to fraction form
    500,144.63/690,199.58 = 273,790.13/x
  3. Step 3: Cross multiply
    500,144.63x = 690,199.58 × 273,790.13
  4. Step 4: Simplify right side
    500,144.63x = 188,969,829,967.62
  5. Step 5: Solve for x
    x = 188,969,829,967.62/500,144.63
  6. Step 6: Final answer
    x = 377,830.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.