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Finding the Fourth Proportional to 499,368.56, 689,128.56 and 273,014

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Solution

The fourth proportional to 499,368.56, 689,128.56 and 273,014 is: 376,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,368.56 : 689,128.56 = 273,014 : x
  2. Step 2: Convert to fraction form
    499,368.56/689,128.56 = 273,014/x
  3. Step 3: Cross multiply
    499,368.56x = 689,128.56 × 273,014
  4. Step 4: Simplify right side
    499,368.56x = 188,141,744,679.84
  5. Step 5: Solve for x
    x = 188,141,744,679.84/499,368.56
  6. Step 6: Final answer
    x = 376,759.29

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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.