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Finding the Fourth Proportional to 567,186.21, 782,713.20 and 312,537.45

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Solution

The fourth proportional to 567,186.21, 782,713.20 and 312,537.45 is: 431,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,186.21 : 782,713.20 = 312,537.45 : x
  2. Step 2: Convert to fraction form
    567,186.21/782,713.20 = 312,537.45/x
  3. Step 3: Cross multiply
    567,186.21x = 782,713.20 × 312,537.45
  4. Step 4: Simplify right side
    567,186.21x = 244,627,187,609.34
  5. Step 5: Solve for x
    x = 244,627,187,609.34/567,186.21
  6. Step 6: Final answer
    x = 431,299.60

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1.5x scale

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.