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Finding the Fourth Proportional to 496,750.80, 685,497 and 281,878.08

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Solution

The fourth proportional to 496,750.80, 685,497 and 281,878.08 is: 388,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,750.80 : 685,497 = 281,878.08 : x
  2. Step 2: Convert to fraction form
    496,750.80/685,497 = 281,878.08/x
  3. Step 3: Cross multiply
    496,750.80x = 685,497 × 281,878.08
  4. Step 4: Simplify right side
    496,750.80x = 193,226,578,205.76
  5. Step 5: Solve for x
    x = 193,226,578,205.76/496,750.80
  6. Step 6: Final answer
    x = 388,980.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.