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Finding the Fourth Proportional to 410,364.10, 615,546.15 and 270,280.90

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Solution

The fourth proportional to 410,364.10, 615,546.15 and 270,280.90 is: 405,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,364.10 : 615,546.15 = 270,280.90 : x
  2. Step 2: Convert to fraction form
    410,364.10/615,546.15 = 270,280.90/x
  3. Step 3: Cross multiply
    410,364.10x = 615,546.15 × 270,280.90
  4. Step 4: Simplify right side
    410,364.10x = 166,370,367,413.54
  5. Step 5: Solve for x
    x = 166,370,367,413.54/410,364.10
  6. Step 6: Final answer
    x = 405,421.35

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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.