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Finding the Fourth Proportional to 499,378.12, 689,144.70 and 273,023.64

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Solution

The fourth proportional to 499,378.12, 689,144.70 and 273,023.64 is: 376,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,378.12 : 689,144.70 = 273,023.64 : x
  2. Step 2: Convert to fraction form
    499,378.12/689,144.70 = 273,023.64/x
  3. Step 3: Cross multiply
    499,378.12x = 689,144.70 × 273,023.64
  4. Step 4: Simplify right side
    499,378.12x = 188,152,794,480.71
  5. Step 5: Solve for x
    x = 188,152,794,480.71/499,378.12
  6. Step 6: Final answer
    x = 376,774.21

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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.