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Finding the Fourth Proportional to 408,049.70, 612,074.55 and 380,056.10

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Solution

The fourth proportional to 408,049.70, 612,074.55 and 380,056.10 is: 570,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.70 : 612,074.55 = 380,056.10 : x
  2. Step 2: Convert to fraction form
    408,049.70/612,074.55 = 380,056.10/x
  3. Step 3: Cross multiply
    408,049.70x = 612,074.55 × 380,056.10
  4. Step 4: Simplify right side
    408,049.70x = 232,622,666,382.26
  5. Step 5: Solve for x
    x = 232,622,666,382.26/408,049.70
  6. Step 6: Final answer
    x = 570,084.15

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Similar ratio
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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.