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Finding the Fourth Proportional to 210,751.09, 316,349.43 and 205,991.63

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Solution

The fourth proportional to 210,751.09, 316,349.43 and 205,991.63 is: 309,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,751.09 : 316,349.43 = 205,991.63 : x
  2. Step 2: Convert to fraction form
    210,751.09/316,349.43 = 205,991.63/x
  3. Step 3: Cross multiply
    210,751.09x = 316,349.43 × 205,991.63
  4. Step 4: Simplify right side
    210,751.09x = 65,165,333,153.52
  5. Step 5: Solve for x
    x = 65,165,333,153.52/210,751.09
  6. Step 6: Final answer
    x = 309,205.21

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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.