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Finding the Fourth Proportional to 416,406.92, 574,643.39 and 225,420.30

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Solution

The fourth proportional to 416,406.92, 574,643.39 and 225,420.30 is: 311,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,406.92 : 574,643.39 = 225,420.30 : x
  2. Step 2: Convert to fraction form
    416,406.92/574,643.39 = 225,420.30/x
  3. Step 3: Cross multiply
    416,406.92x = 574,643.39 × 225,420.30
  4. Step 4: Simplify right side
    416,406.92x = 129,536,284,239.72
  5. Step 5: Solve for x
    x = 129,536,284,239.72/416,406.92
  6. Step 6: Final answer
    x = 311,081.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.