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Finding the Fourth Proportional to 419,124.10, 628,679.97 and 103,580.98

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Solution

The fourth proportional to 419,124.10, 628,679.97 and 103,580.98 is: 155,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,124.10 : 628,679.97 = 103,580.98 : x
  2. Step 2: Convert to fraction form
    419,124.10/628,679.97 = 103,580.98/x
  3. Step 3: Cross multiply
    419,124.10x = 628,679.97 × 103,580.98
  4. Step 4: Simplify right side
    419,124.10x = 65,119,287,398.97
  5. Step 5: Solve for x
    x = 65,119,287,398.97/419,124.10
  6. Step 6: Final answer
    x = 155,369.94

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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.