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Finding the Fourth Proportional to 393,923.28, 543,428.28 and 286,446

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Solution

The fourth proportional to 393,923.28, 543,428.28 and 286,446 is: 395,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,923.28 : 543,428.28 = 286,446 : x
  2. Step 2: Convert to fraction form
    393,923.28/543,428.28 = 286,446/x
  3. Step 3: Cross multiply
    393,923.28x = 543,428.28 × 286,446
  4. Step 4: Simplify right side
    393,923.28x = 155,662,857,092.88
  5. Step 5: Solve for x
    x = 155,662,857,092.88/393,923.28
  6. Step 6: Final answer
    x = 395,160.34

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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.