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Finding the Fourth Proportional to 200,491.51, 300,804.40 and 65,561.80

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Solution

The fourth proportional to 200,491.51, 300,804.40 and 65,561.80 is: 98,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.51 : 300,804.40 = 65,561.80 : x
  2. Step 2: Convert to fraction form
    200,491.51/300,804.40 = 65,561.80/x
  3. Step 3: Cross multiply
    200,491.51x = 300,804.40 × 65,561.80
  4. Step 4: Simplify right side
    200,491.51x = 19,721,277,911.92
  5. Step 5: Solve for x
    x = 19,721,277,911.92/200,491.51
  6. Step 6: Final answer
    x = 98,364.65

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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.