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Finding the Fourth Proportional to 603,171.84, 831,915.89 and 409,728.70

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Solution

The fourth proportional to 603,171.84, 831,915.89 and 409,728.70 is: 565,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,171.84 : 831,915.89 = 409,728.70 : x
  2. Step 2: Convert to fraction form
    603,171.84/831,915.89 = 409,728.70/x
  3. Step 3: Cross multiply
    603,171.84x = 831,915.89 × 409,728.70
  4. Step 4: Simplify right side
    603,171.84x = 340,859,816,119.04
  5. Step 5: Solve for x
    x = 340,859,816,119.04/603,171.84
  6. Step 6: Final answer
    x = 565,112.28

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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.