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Finding the Fourth Proportional to 398,564.94, 597,989.98 and 170,764.86

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Solution

The fourth proportional to 398,564.94, 597,989.98 and 170,764.86 is: 256,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,564.94 : 597,989.98 = 170,764.86 : x
  2. Step 2: Convert to fraction form
    398,564.94/597,989.98 = 170,764.86/x
  3. Step 3: Cross multiply
    398,564.94x = 597,989.98 × 170,764.86
  4. Step 4: Simplify right side
    398,564.94x = 102,115,675,216.10
  5. Step 5: Solve for x
    x = 102,115,675,216.10/398,564.94
  6. Step 6: Final answer
    x = 256,208.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.