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Finding the Fourth Proportional to 645,891.20, 969,412.80 and 379,318.40

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Solution

The fourth proportional to 645,891.20, 969,412.80 and 379,318.40 is: 569,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,891.20 : 969,412.80 = 379,318.40 : x
  2. Step 2: Convert to fraction form
    645,891.20/969,412.80 = 379,318.40/x
  3. Step 3: Cross multiply
    645,891.20x = 969,412.80 × 379,318.40
  4. Step 4: Simplify right side
    645,891.20x = 367,716,112,235.52
  5. Step 5: Solve for x
    x = 367,716,112,235.52/645,891.20
  6. Step 6: Final answer
    x = 569,315.87

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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.