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Finding the Fourth Proportional to 686,171.25, 946,918.54 and 380,252.66

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Solution

The fourth proportional to 686,171.25, 946,918.54 and 380,252.66 is: 524,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,171.25 : 946,918.54 = 380,252.66 : x
  2. Step 2: Convert to fraction form
    686,171.25/946,918.54 = 380,252.66/x
  3. Step 3: Cross multiply
    686,171.25x = 946,918.54 × 380,252.66
  4. Step 4: Simplify right side
    686,171.25x = 360,068,292,566.54
  5. Step 5: Solve for x
    x = 360,068,292,566.54/686,171.25
  6. Step 6: Final answer
    x = 524,749.90

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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.