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Finding the Fourth Proportional to 719,734, 993,320.40 and 417,928

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Solution

The fourth proportional to 719,734, 993,320.40 and 417,928 is: 576,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,734 : 993,320.40 = 417,928 : x
  2. Step 2: Convert to fraction form
    719,734/993,320.40 = 417,928/x
  3. Step 3: Cross multiply
    719,734x = 993,320.40 × 417,928
  4. Step 4: Simplify right side
    719,734x = 415,136,408,131.20
  5. Step 5: Solve for x
    x = 415,136,408,131.20/719,734
  6. Step 6: Final answer
    x = 576,791.44

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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.