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Finding the Fourth Proportional to 513,532.63, 769,999.43 and 213,653.85

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Solution

The fourth proportional to 513,532.63, 769,999.43 and 213,653.85 is: 320,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,532.63 : 769,999.43 = 213,653.85 : x
  2. Step 2: Convert to fraction form
    513,532.63/769,999.43 = 213,653.85/x
  3. Step 3: Cross multiply
    513,532.63x = 769,999.43 × 213,653.85
  4. Step 4: Simplify right side
    513,532.63x = 164,513,337,799.04
  5. Step 5: Solve for x
    x = 164,513,337,799.04/513,532.63
  6. Step 6: Final answer
    x = 320,356.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.