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Finding the Fourth Proportional to 499,569, 689,405.76 and 273,215.04

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Solution

The fourth proportional to 499,569, 689,405.76 and 273,215.04 is: 377,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,569 : 689,405.76 = 273,215.04 : x
  2. Step 2: Convert to fraction form
    499,569/689,405.76 = 273,215.04/x
  3. Step 3: Cross multiply
    499,569x = 689,405.76 × 273,215.04
  4. Step 4: Simplify right side
    499,569x = 188,356,022,294.63
  5. Step 5: Solve for x
    x = 188,356,022,294.63/499,569
  6. Step 6: Final answer
    x = 377,037.05

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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.