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Finding the Fourth Proportional to 819,664, 1,131,170.88 and 461,968

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Solution

The fourth proportional to 819,664, 1,131,170.88 and 461,968 is: 637,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,664 : 1,131,170.88 = 461,968 : x
  2. Step 2: Convert to fraction form
    819,664/1,131,170.88 = 461,968/x
  3. Step 3: Cross multiply
    819,664x = 1,131,170.88 × 461,968
  4. Step 4: Simplify right side
    819,664x = 522,564,749,091.84
  5. Step 5: Solve for x
    x = 522,564,749,091.84/819,664
  6. Step 6: Final answer
    x = 637,535.32

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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.