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Finding the Fourth Proportional to 567,165.51, 782,687.67 and 312,516.69

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Solution

The fourth proportional to 567,165.51, 782,687.67 and 312,516.69 is: 431,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,165.51 : 782,687.67 = 312,516.69 : x
  2. Step 2: Convert to fraction form
    567,165.51/782,687.67 = 312,516.69/x
  3. Step 3: Cross multiply
    567,165.51x = 782,687.67 × 312,516.69
  4. Step 4: Simplify right side
    567,165.51x = 244,602,959,932.21
  5. Step 5: Solve for x
    x = 244,602,959,932.21/567,165.51
  6. Step 6: Final answer
    x = 431,272.63

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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.