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Finding the Fourth Proportional to 380,339.56, 570,854.94 and 202,997.80

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Solution

The fourth proportional to 380,339.56, 570,854.94 and 202,997.80 is: 304,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,339.56 : 570,854.94 = 202,997.80 : x
  2. Step 2: Convert to fraction form
    380,339.56/570,854.94 = 202,997.80/x
  3. Step 3: Cross multiply
    380,339.56x = 570,854.94 × 202,997.80
  4. Step 4: Simplify right side
    380,339.56x = 115,882,296,939.13
  5. Step 5: Solve for x
    x = 115,882,296,939.13/380,339.56
  6. Step 6: Final answer
    x = 304,681.16

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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.