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Finding the Fourth Proportional to 205,939.53, 308,429.53 and 200,263.77

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Solution

The fourth proportional to 205,939.53, 308,429.53 and 200,263.77 is: 299,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,939.53 : 308,429.53 = 200,263.77 : x
  2. Step 2: Convert to fraction form
    205,939.53/308,429.53 = 200,263.77/x
  3. Step 3: Cross multiply
    205,939.53x = 308,429.53 × 200,263.77
  4. Step 4: Simplify right side
    205,939.53x = 61,767,260,457.13
  5. Step 5: Solve for x
    x = 61,767,260,457.13/205,939.53
  6. Step 6: Final answer
    x = 299,929.11

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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.