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Finding the Fourth Proportional to 942,431.64, 1,413,880.74 and 443,679

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Solution

The fourth proportional to 942,431.64, 1,413,880.74 and 443,679 is: 665,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,431.64 : 1,413,880.74 = 443,679 : x
  2. Step 2: Convert to fraction form
    942,431.64/1,413,880.74 = 443,679/x
  3. Step 3: Cross multiply
    942,431.64x = 1,413,880.74 × 443,679
  4. Step 4: Simplify right side
    942,431.64x = 627,309,192,842.46
  5. Step 5: Solve for x
    x = 627,309,192,842.46/942,431.64
  6. Step 6: Final answer
    x = 665,628.32

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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.