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Finding the Fourth Proportional to 419,432.40, 578,766.60 and 238,078.80

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Solution

The fourth proportional to 419,432.40, 578,766.60 and 238,078.80 is: 328,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,432.40 : 578,766.60 = 238,078.80 : x
  2. Step 2: Convert to fraction form
    419,432.40/578,766.60 = 238,078.80/x
  3. Step 3: Cross multiply
    419,432.40x = 578,766.60 × 238,078.80
  4. Step 4: Simplify right side
    419,432.40x = 137,792,057,608.08
  5. Step 5: Solve for x
    x = 137,792,057,608.08/419,432.40
  6. Step 6: Final answer
    x = 328,520.30

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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.