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Finding the Fourth Proportional to 513,252.20, 770,009.64 and 213,633.20

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Solution

The fourth proportional to 513,252.20, 770,009.64 and 213,633.20 is: 320,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,252.20 : 770,009.64 = 213,633.20 : x
  2. Step 2: Convert to fraction form
    513,252.20/770,009.64 = 213,633.20/x
  3. Step 3: Cross multiply
    513,252.20x = 770,009.64 × 213,633.20
  4. Step 4: Simplify right side
    513,252.20x = 164,499,623,424.05
  5. Step 5: Solve for x
    x = 164,499,623,424.05/513,252.20
  6. Step 6: Final answer
    x = 320,504.47

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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.