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Finding the Fourth Proportional to 413,511.40, 620,267.10 and 410,012.20

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Solution

The fourth proportional to 413,511.40, 620,267.10 and 410,012.20 is: 615,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,511.40 : 620,267.10 = 410,012.20 : x
  2. Step 2: Convert to fraction form
    413,511.40/620,267.10 = 410,012.20/x
  3. Step 3: Cross multiply
    413,511.40x = 620,267.10 × 410,012.20
  4. Step 4: Simplify right side
    413,511.40x = 254,317,078,258.62
  5. Step 5: Solve for x
    x = 254,317,078,258.62/413,511.40
  6. Step 6: Final answer
    x = 615,018.30

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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.