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Finding the Fourth Proportional to 538,078.65, 807,130.04 and 200,935.38

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Solution

The fourth proportional to 538,078.65, 807,130.04 and 200,935.38 is: 301,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,078.65 : 807,130.04 = 200,935.38 : x
  2. Step 2: Convert to fraction form
    538,078.65/807,130.04 = 200,935.38/x
  3. Step 3: Cross multiply
    538,078.65x = 807,130.04 × 200,935.38
  4. Step 4: Simplify right side
    538,078.65x = 162,180,983,318.88
  5. Step 5: Solve for x
    x = 162,180,983,318.88/538,078.65
  6. Step 6: Final answer
    x = 301,407.58

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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.