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Finding the Fourth Proportional to 499,441.62, 689,296.86 and 281,695

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Solution

The fourth proportional to 499,441.62, 689,296.86 and 281,695 is: 388,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,441.62 : 689,296.86 = 281,695 : x
  2. Step 2: Convert to fraction form
    499,441.62/689,296.86 = 281,695/x
  3. Step 3: Cross multiply
    499,441.62x = 689,296.86 × 281,695
  4. Step 4: Simplify right side
    499,441.62x = 194,171,478,977.70
  5. Step 5: Solve for x
    x = 194,171,478,977.70/499,441.62
  6. Step 6: Final answer
    x = 388,777.13

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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.