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Finding the Fourth Proportional to 382,887, 574,335.36 and 133,569

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Solution

The fourth proportional to 382,887, 574,335.36 and 133,569 is: 200,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,887 : 574,335.36 = 133,569 : x
  2. Step 2: Convert to fraction form
    382,887/574,335.36 = 133,569/x
  3. Step 3: Cross multiply
    382,887x = 574,335.36 × 133,569
  4. Step 4: Simplify right side
    382,887x = 76,713,399,699.84
  5. Step 5: Solve for x
    x = 76,713,399,699.84/382,887
  6. Step 6: Final answer
    x = 200,355.20

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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.