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Finding the Fourth Proportional to 499,649.56, 689,583.11 and 281,902.93

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Solution

The fourth proportional to 499,649.56, 689,583.11 and 281,902.93 is: 389,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,649.56 : 689,583.11 = 281,902.93 : x
  2. Step 2: Convert to fraction form
    499,649.56/689,583.11 = 281,902.93/x
  3. Step 3: Cross multiply
    499,649.56x = 689,583.11 × 281,902.93
  4. Step 4: Simplify right side
    499,649.56x = 194,395,499,187.51
  5. Step 5: Solve for x
    x = 194,395,499,187.51/499,649.56
  6. Step 6: Final answer
    x = 389,063.69

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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.