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Finding the Fourth Proportional to 649,824.84, 974,380.41 and 200,421

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Solution

The fourth proportional to 649,824.84, 974,380.41 and 200,421 is: 300,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,824.84 : 974,380.41 = 200,421 : x
  2. Step 2: Convert to fraction form
    649,824.84/974,380.41 = 200,421/x
  3. Step 3: Cross multiply
    649,824.84x = 974,380.41 × 200,421
  4. Step 4: Simplify right side
    649,824.84x = 195,286,296,152.61
  5. Step 5: Solve for x
    x = 195,286,296,152.61/649,824.84
  6. Step 6: Final answer
    x = 300,521.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.