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Finding the Fourth Proportional to 576,311.10, 863,365.05 and 309,983.10

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Solution

The fourth proportional to 576,311.10, 863,365.05 and 309,983.10 is: 464,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,311.10 : 863,365.05 = 309,983.10 : x
  2. Step 2: Convert to fraction form
    576,311.10/863,365.05 = 309,983.10/x
  3. Step 3: Cross multiply
    576,311.10x = 863,365.05 × 309,983.10
  4. Step 4: Simplify right side
    576,311.10x = 267,628,574,630.66
  5. Step 5: Solve for x
    x = 267,628,574,630.66/576,311.10
  6. Step 6: Final answer
    x = 464,382.13

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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.