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Finding the Fourth Proportional to 419,846.60, 629,538.78 and 286,877

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Solution

The fourth proportional to 419,846.60, 629,538.78 and 286,877 is: 430,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,846.60 : 629,538.78 = 286,877 : x
  2. Step 2: Convert to fraction form
    419,846.60/629,538.78 = 286,877/x
  3. Step 3: Cross multiply
    419,846.60x = 629,538.78 × 286,877
  4. Step 4: Simplify right side
    419,846.60x = 180,600,196,590.06
  5. Step 5: Solve for x
    x = 180,600,196,590.06/419,846.60
  6. Step 6: Final answer
    x = 430,157.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.