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Finding the Fourth Proportional to 496,735.76, 685,476.32 and 281,863

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Solution

The fourth proportional to 496,735.76, 685,476.32 and 281,863 is: 388,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,735.76 : 685,476.32 = 281,863 : x
  2. Step 2: Convert to fraction form
    496,735.76/685,476.32 = 281,863/x
  3. Step 3: Cross multiply
    496,735.76x = 685,476.32 × 281,863
  4. Step 4: Simplify right side
    496,735.76x = 193,210,411,984.16
  5. Step 5: Solve for x
    x = 193,210,411,984.16/496,735.76
  6. Step 6: Final answer
    x = 388,960.14

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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.