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Finding the Fourth Proportional to 576,312.10, 863,366.55 and 309,984.10

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Solution

The fourth proportional to 576,312.10, 863,366.55 and 309,984.10 is: 464,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,312.10 : 863,366.55 = 309,984.10 : x
  2. Step 2: Convert to fraction form
    576,312.10/863,366.55 = 309,984.10/x
  3. Step 3: Cross multiply
    576,312.10x = 863,366.55 × 309,984.10
  4. Step 4: Simplify right side
    576,312.10x = 267,629,902,971.86
  5. Step 5: Solve for x
    x = 267,629,902,971.86/576,312.10
  6. Step 6: Final answer
    x = 464,383.63

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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.