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Finding the Fourth Proportional to 403,914.04, 605,872.50 and 123,430.12

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Solution

The fourth proportional to 403,914.04, 605,872.50 and 123,430.12 is: 185,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,914.04 : 605,872.50 = 123,430.12 : x
  2. Step 2: Convert to fraction form
    403,914.04/605,872.50 = 123,430.12/x
  3. Step 3: Cross multiply
    403,914.04x = 605,872.50 × 123,430.12
  4. Step 4: Simplify right side
    403,914.04x = 74,782,915,379.70
  5. Step 5: Solve for x
    x = 74,782,915,379.70/403,914.04
  6. Step 6: Final answer
    x = 185,145.62

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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.