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Finding the Fourth Proportional to 496,827, 685,621.40 and 270,472.50

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Solution

The fourth proportional to 496,827, 685,621.40 and 270,472.50 is: 373,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,827 : 685,621.40 = 270,472.50 : x
  2. Step 2: Convert to fraction form
    496,827/685,621.40 = 270,472.50/x
  3. Step 3: Cross multiply
    496,827x = 685,621.40 × 270,472.50
  4. Step 4: Simplify right side
    496,827x = 185,441,732,759.14
  5. Step 5: Solve for x
    x = 185,441,732,759.14/496,827
  6. Step 6: Final answer
    x = 373,252.12

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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.