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Finding the Fourth Proportional to 496,802.80, 685,568.64 and 281,930.08

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Solution

The fourth proportional to 496,802.80, 685,568.64 and 281,930.08 is: 389,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,802.80 : 685,568.64 = 281,930.08 : x
  2. Step 2: Convert to fraction form
    496,802.80/685,568.64 = 281,930.08/x
  3. Step 3: Cross multiply
    496,802.80x = 685,568.64 × 281,930.08
  4. Step 4: Simplify right side
    496,802.80x = 193,282,421,520.69
  5. Step 5: Solve for x
    x = 193,282,421,520.69/496,802.80
  6. Step 6: Final answer
    x = 389,052.60

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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.