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Finding the Fourth Proportional to 512,014.96, 706,582.68 and 285,670

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Solution

The fourth proportional to 512,014.96, 706,582.68 and 285,670 is: 394,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,014.96 : 706,582.68 = 285,670 : x
  2. Step 2: Convert to fraction form
    512,014.96/706,582.68 = 285,670/x
  3. Step 3: Cross multiply
    512,014.96x = 706,582.68 × 285,670
  4. Step 4: Simplify right side
    512,014.96x = 201,849,474,195.60
  5. Step 5: Solve for x
    x = 201,849,474,195.60/512,014.96
  6. Step 6: Final answer
    x = 394,225.74

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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.