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Finding the Fourth Proportional to 831,417, 1,147,357.14 and 449,443.74

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Solution

The fourth proportional to 831,417, 1,147,357.14 and 449,443.74 is: 620,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,417 : 1,147,357.14 = 449,443.74 : x
  2. Step 2: Convert to fraction form
    831,417/1,147,357.14 = 449,443.74/x
  3. Step 3: Cross multiply
    831,417x = 1,147,357.14 × 449,443.74
  4. Step 4: Simplify right side
    831,417x = 515,672,484,117.30
  5. Step 5: Solve for x
    x = 515,672,484,117.30/831,417
  6. Step 6: Final answer
    x = 620,233.27

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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.