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Finding the Fourth Proportional to 569,918, 786,418.80 and 315,234.56

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Solution

The fourth proportional to 569,918, 786,418.80 and 315,234.56 is: 434,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,918 : 786,418.80 = 315,234.56 : x
  2. Step 2: Convert to fraction form
    569,918/786,418.80 = 315,234.56/x
  3. Step 3: Cross multiply
    569,918x = 786,418.80 × 315,234.56
  4. Step 4: Simplify right side
    569,918x = 247,906,384,393.73
  5. Step 5: Solve for x
    x = 247,906,384,393.73/569,918
  6. Step 6: Final answer
    x = 434,986.06

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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.