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Finding the Fourth Proportional to 567,213.12, 782,771.04 and 312,580.80

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Solution

The fourth proportional to 567,213.12, 782,771.04 and 312,580.80 is: 431,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,213.12 : 782,771.04 = 312,580.80 : x
  2. Step 2: Convert to fraction form
    567,213.12/782,771.04 = 312,580.80/x
  3. Step 3: Cross multiply
    567,213.12x = 782,771.04 × 312,580.80
  4. Step 4: Simplify right side
    567,213.12x = 244,679,197,900.03
  5. Step 5: Solve for x
    x = 244,679,197,900.03/567,213.12
  6. Step 6: Final answer
    x = 431,370.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.