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Finding the Fourth Proportional to 414,009.40, 621,014.10 and 410,072.80

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Solution

The fourth proportional to 414,009.40, 621,014.10 and 410,072.80 is: 615,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,009.40 : 621,014.10 = 410,072.80 : x
  2. Step 2: Convert to fraction form
    414,009.40/621,014.10 = 410,072.80/x
  3. Step 3: Cross multiply
    414,009.40x = 621,014.10 × 410,072.80
  4. Step 4: Simplify right side
    414,009.40x = 254,660,990,826.48
  5. Step 5: Solve for x
    x = 254,660,990,826.48/414,009.40
  6. Step 6: Final answer
    x = 615,109.20

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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.