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Finding the Fourth Proportional to 367,422.08, 507,071.78 and 206,287.72

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Solution

The fourth proportional to 367,422.08, 507,071.78 and 206,287.72 is: 284,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,422.08 : 507,071.78 = 206,287.72 : x
  2. Step 2: Convert to fraction form
    367,422.08/507,071.78 = 206,287.72/x
  3. Step 3: Cross multiply
    367,422.08x = 507,071.78 × 206,287.72
  4. Step 4: Simplify right side
    367,422.08x = 104,602,681,372.54
  5. Step 5: Solve for x
    x = 104,602,681,372.54/367,422.08
  6. Step 6: Final answer
    x = 284,693.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.