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Finding the Fourth Proportional to 831,429.88, 1,245,876 and 432,200.32

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Solution

The fourth proportional to 831,429.88, 1,245,876 and 432,200.32 is: 647,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,429.88 : 1,245,876 = 432,200.32 : x
  2. Step 2: Convert to fraction form
    831,429.88/1,245,876 = 432,200.32/x
  3. Step 3: Cross multiply
    831,429.88x = 1,245,876 × 432,200.32
  4. Step 4: Simplify right side
    831,429.88x = 538,468,005,880.32
  5. Step 5: Solve for x
    x = 538,468,005,880.32/831,429.88
  6. Step 6: Final answer
    x = 647,640.91

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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.