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Finding the Fourth Proportional to 331,803, 497,706.32 and 82,485

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Solution

The fourth proportional to 331,803, 497,706.32 and 82,485 is: 123,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,803 : 497,706.32 = 82,485 : x
  2. Step 2: Convert to fraction form
    331,803/497,706.32 = 82,485/x
  3. Step 3: Cross multiply
    331,803x = 497,706.32 × 82,485
  4. Step 4: Simplify right side
    331,803x = 41,053,306,011.41
  5. Step 5: Solve for x
    x = 41,053,306,011.41/331,803
  6. Step 6: Final answer
    x = 123,727.95

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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.