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Finding the Fourth Proportional to 321,866.85, 482,800.28 and 171,652.05

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Solution

The fourth proportional to 321,866.85, 482,800.28 and 171,652.05 is: 257,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,866.85 : 482,800.28 = 171,652.05 : x
  2. Step 2: Convert to fraction form
    321,866.85/482,800.28 = 171,652.05/x
  3. Step 3: Cross multiply
    321,866.85x = 482,800.28 × 171,652.05
  4. Step 4: Simplify right side
    321,866.85x = 82,873,657,909.86
  5. Step 5: Solve for x
    x = 82,873,657,909.86/321,866.85
  6. Step 6: Final answer
    x = 257,478.08

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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.