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Finding the Fourth Proportional to 413,960.10, 620,940.15 and 256,496.10

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Solution

The fourth proportional to 413,960.10, 620,940.15 and 256,496.10 is: 384,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,960.10 : 620,940.15 = 256,496.10 : x
  2. Step 2: Convert to fraction form
    413,960.10/620,940.15 = 256,496.10/x
  3. Step 3: Cross multiply
    413,960.10x = 620,940.15 × 256,496.10
  4. Step 4: Simplify right side
    413,960.10x = 159,268,726,808.42
  5. Step 5: Solve for x
    x = 159,268,726,808.42/413,960.10
  6. Step 6: Final answer
    x = 384,744.15

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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.