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Finding the Fourth Proportional to 416,439.04, 574,689 and 225,455.64

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Solution

The fourth proportional to 416,439.04, 574,689 and 225,455.64 is: 311,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,439.04 : 574,689 = 225,455.64 : x
  2. Step 2: Convert to fraction form
    416,439.04/574,689 = 225,455.64/x
  3. Step 3: Cross multiply
    416,439.04x = 574,689 × 225,455.64
  4. Step 4: Simplify right side
    416,439.04x = 129,566,876,295.96
  5. Step 5: Solve for x
    x = 129,566,876,295.96/416,439.04
  6. Step 6: Final answer
    x = 311,130.47

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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.