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Finding the Fourth Proportional to 208,671.96, 312,308.10 and 171,230.52

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Solution

The fourth proportional to 208,671.96, 312,308.10 and 171,230.52 is: 256,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,671.96 : 312,308.10 = 171,230.52 : x
  2. Step 2: Convert to fraction form
    208,671.96/312,308.10 = 171,230.52/x
  3. Step 3: Cross multiply
    208,671.96x = 312,308.10 × 171,230.52
  4. Step 4: Simplify right side
    208,671.96x = 53,476,678,363.21
  5. Step 5: Solve for x
    x = 53,476,678,363.21/208,671.96
  6. Step 6: Final answer
    x = 256,271.51

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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.