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Finding the Fourth Proportional to 831,586, 1,147,591.88 and 464,078.80

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Solution

The fourth proportional to 831,586, 1,147,591.88 and 464,078.80 is: 640,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,586 : 1,147,591.88 = 464,078.80 : x
  2. Step 2: Convert to fraction form
    831,586/1,147,591.88 = 464,078.80/x
  3. Step 3: Cross multiply
    831,586x = 1,147,591.88 × 464,078.80
  4. Step 4: Simplify right side
    831,586x = 532,573,062,560.14
  5. Step 5: Solve for x
    x = 532,573,062,560.14/831,586
  6. Step 6: Final answer
    x = 640,430.53

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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.