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Finding the Fourth Proportional to 831,496.32, 1,147,464.63 and 449,523

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Solution

The fourth proportional to 831,496.32, 1,147,464.63 and 449,523 is: 620,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,496.32 : 1,147,464.63 = 449,523 : x
  2. Step 2: Convert to fraction form
    831,496.32/1,147,464.63 = 449,523/x
  3. Step 3: Cross multiply
    831,496.32x = 1,147,464.63 × 449,523
  4. Step 4: Simplify right side
    831,496.32x = 515,811,742,871.49
  5. Step 5: Solve for x
    x = 515,811,742,871.49/831,496.32
  6. Step 6: Final answer
    x = 620,341.58

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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.