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Finding the Fourth Proportional to 331,798.78, 497,700.05 and 82,480.78

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Solution

The fourth proportional to 331,798.78, 497,700.05 and 82,480.78 is: 123,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,798.78 : 497,700.05 = 82,480.78 : x
  2. Step 2: Convert to fraction form
    331,798.78/497,700.05 = 82,480.78/x
  3. Step 3: Cross multiply
    331,798.78x = 497,700.05 × 82,480.78
  4. Step 4: Simplify right side
    331,798.78x = 41,050,688,539.76
  5. Step 5: Solve for x
    x = 41,050,688,539.76/331,798.78
  6. Step 6: Final answer
    x = 123,721.64

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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.