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Finding the Fourth Proportional to 398,922.80, 598,675.80 and 280,824.80

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Solution

The fourth proportional to 398,922.80, 598,675.80 and 280,824.80 is: 421,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,922.80 : 598,675.80 = 280,824.80 : x
  2. Step 2: Convert to fraction form
    398,922.80/598,675.80 = 280,824.80/x
  3. Step 3: Cross multiply
    398,922.80x = 598,675.80 × 280,824.80
  4. Step 4: Simplify right side
    398,922.80x = 168,123,011,799.84
  5. Step 5: Solve for x
    x = 168,123,011,799.84/398,922.80
  6. Step 6: Final answer
    x = 421,442.47

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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.