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Finding the Fourth Proportional to 413,599.30, 620,982.15 and 256,135.30

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Solution

The fourth proportional to 413,599.30, 620,982.15 and 256,135.30 is: 384,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,599.30 : 620,982.15 = 256,135.30 : x
  2. Step 2: Convert to fraction form
    413,599.30/620,982.15 = 256,135.30/x
  3. Step 3: Cross multiply
    413,599.30x = 620,982.15 × 256,135.30
  4. Step 4: Simplify right side
    413,599.30x = 159,055,449,284.90
  5. Step 5: Solve for x
    x = 159,055,449,284.90/413,599.30
  6. Step 6: Final answer
    x = 384,564.12

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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.