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Finding the Fourth Proportional to 420,100.80, 628,984.80 and 408,436.80

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Solution

The fourth proportional to 420,100.80, 628,984.80 and 408,436.80 is: 611,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,100.80 : 628,984.80 = 408,436.80 : x
  2. Step 2: Convert to fraction form
    420,100.80/628,984.80 = 408,436.80/x
  3. Step 3: Cross multiply
    420,100.80x = 628,984.80 × 408,436.80
  4. Step 4: Simplify right side
    420,100.80x = 256,900,538,960.64
  5. Step 5: Solve for x
    x = 256,900,538,960.64/420,100.80
  6. Step 6: Final answer
    x = 611,521.18

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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.