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Finding the Fourth Proportional to 496,572, 685,269.36 and 270,219.12

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Solution

The fourth proportional to 496,572, 685,269.36 and 270,219.12 is: 372,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,572 : 685,269.36 = 270,219.12 : x
  2. Step 2: Convert to fraction form
    496,572/685,269.36 = 270,219.12/x
  3. Step 3: Cross multiply
    496,572x = 685,269.36 × 270,219.12
  4. Step 4: Simplify right side
    496,572x = 185,172,883,422.16
  5. Step 5: Solve for x
    x = 185,172,883,422.16/496,572
  6. Step 6: Final answer
    x = 372,902.39

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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.