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Finding the Fourth Proportional to 686,151.03, 946,894 and 380,232.56

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Solution

The fourth proportional to 686,151.03, 946,894 and 380,232.56 is: 524,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,151.03 : 946,894 = 380,232.56 : x
  2. Step 2: Convert to fraction form
    686,151.03/946,894 = 380,232.56/x
  3. Step 3: Cross multiply
    686,151.03x = 946,894 × 380,232.56
  4. Step 4: Simplify right side
    686,151.03x = 360,039,924,934.17
  5. Step 5: Solve for x
    x = 360,039,924,934.17/686,151.03
  6. Step 6: Final answer
    x = 524,724.02

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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.