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Finding the Fourth Proportional to 409,850.40, 614,775.60 and 290,276.18

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Solution

The fourth proportional to 409,850.40, 614,775.60 and 290,276.18 is: 435,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,850.40 : 614,775.60 = 290,276.18 : x
  2. Step 2: Convert to fraction form
    409,850.40/614,775.60 = 290,276.18/x
  3. Step 3: Cross multiply
    409,850.40x = 614,775.60 × 290,276.18
  4. Step 4: Simplify right side
    409,850.40x = 178,454,709,651.33
  5. Step 5: Solve for x
    x = 178,454,709,651.33/409,850.40
  6. Step 6: Final answer
    x = 435,414.26

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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.