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Finding the Fourth Proportional to 719,744, 1,078,878.72 and 299,264

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Solution

The fourth proportional to 719,744, 1,078,878.72 and 299,264 is: 448,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,744 : 1,078,878.72 = 299,264 : x
  2. Step 2: Convert to fraction form
    719,744/1,078,878.72 = 299,264/x
  3. Step 3: Cross multiply
    719,744x = 1,078,878.72 × 299,264
  4. Step 4: Simplify right side
    719,744x = 322,869,561,262.08
  5. Step 5: Solve for x
    x = 322,869,561,262.08/719,744
  6. Step 6: Final answer
    x = 448,589.44

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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.