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Finding the Fourth Proportional to 404,311.72, 605,975.64 and 286,017.16

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Solution

The fourth proportional to 404,311.72, 605,975.64 and 286,017.16 is: 428,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,311.72 : 605,975.64 = 286,017.16 : x
  2. Step 2: Convert to fraction form
    404,311.72/605,975.64 = 286,017.16/x
  3. Step 3: Cross multiply
    404,311.72x = 605,975.64 × 286,017.16
  4. Step 4: Simplify right side
    404,311.72x = 173,319,431,581.98
  5. Step 5: Solve for x
    x = 173,319,431,581.98/404,311.72
  6. Step 6: Final answer
    x = 428,677.73

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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.