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Finding the Fourth Proportional to 570,841, 787,760.92 and 312,727.33

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Solution

The fourth proportional to 570,841, 787,760.92 and 312,727.33 is: 431,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,841 : 787,760.92 = 312,727.33 : x
  2. Step 2: Convert to fraction form
    570,841/787,760.92 = 312,727.33/x
  3. Step 3: Cross multiply
    570,841x = 787,760.92 × 312,727.33
  4. Step 4: Simplify right side
    570,841x = 246,354,369,189.94
  5. Step 5: Solve for x
    x = 246,354,369,189.94/570,841
  6. Step 6: Final answer
    x = 431,563.90

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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.