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Finding the Fourth Proportional to 685,617, 946,151.46 and 383,817.48

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Solution

The fourth proportional to 685,617, 946,151.46 and 383,817.48 is: 529,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,617 : 946,151.46 = 383,817.48 : x
  2. Step 2: Convert to fraction form
    685,617/946,151.46 = 383,817.48/x
  3. Step 3: Cross multiply
    685,617x = 946,151.46 × 383,817.48
  4. Step 4: Simplify right side
    685,617x = 363,149,469,075.52
  5. Step 5: Solve for x
    x = 363,149,469,075.52/685,617
  6. Step 6: Final answer
    x = 529,668.12

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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.