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Finding the Fourth Proportional to 557,429.40, 769,571.75 and 366,996.38

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Solution

The fourth proportional to 557,429.40, 769,571.75 and 366,996.38 is: 506,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,429.40 : 769,571.75 = 366,996.38 : x
  2. Step 2: Convert to fraction form
    557,429.40/769,571.75 = 366,996.38/x
  3. Step 3: Cross multiply
    557,429.40x = 769,571.75 × 366,996.38
  4. Step 4: Simplify right side
    557,429.40x = 282,430,043,469.90
  5. Step 5: Solve for x
    x = 282,430,043,469.90/557,429.40
  6. Step 6: Final answer
    x = 506,665.14

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1.5x scale

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.