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Finding the Fourth Proportional to 643,771.84, 967,232.16 and 607,963.20

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Solution

The fourth proportional to 643,771.84, 967,232.16 and 607,963.20 is: 913,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,771.84 : 967,232.16 = 607,963.20 : x
  2. Step 2: Convert to fraction form
    643,771.84/967,232.16 = 607,963.20/x
  3. Step 3: Cross multiply
    643,771.84x = 967,232.16 × 607,963.20
  4. Step 4: Simplify right side
    643,771.84x = 588,041,559,136.51
  5. Step 5: Solve for x
    x = 588,041,559,136.51/643,771.84
  6. Step 6: Final answer
    x = 913,431.63

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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.