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Finding the Fourth Proportional to 567,489.24, 783,141.21 and 312,849.54

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Solution

The fourth proportional to 567,489.24, 783,141.21 and 312,849.54 is: 431,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,489.24 : 783,141.21 = 312,849.54 : x
  2. Step 2: Convert to fraction form
    567,489.24/783,141.21 = 312,849.54/x
  3. Step 3: Cross multiply
    567,489.24x = 783,141.21 × 312,849.54
  4. Step 4: Simplify right side
    567,489.24x = 245,005,367,303.54
  5. Step 5: Solve for x
    x = 245,005,367,303.54/567,489.24
  6. Step 6: Final answer
    x = 431,735.71

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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.