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Finding the Fourth Proportional to 414,276.80, 621,415.20 and 410,129.60

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Solution

The fourth proportional to 414,276.80, 621,415.20 and 410,129.60 is: 615,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,276.80 : 621,415.20 = 410,129.60 : x
  2. Step 2: Convert to fraction form
    414,276.80/621,415.20 = 410,129.60/x
  3. Step 3: Cross multiply
    414,276.80x = 621,415.20 × 410,129.60
  4. Step 4: Simplify right side
    414,276.80x = 254,860,767,409.92
  5. Step 5: Solve for x
    x = 254,860,767,409.92/414,276.80
  6. Step 6: Final answer
    x = 615,194.40

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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.