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Finding the Fourth Proportional to 416,406.79, 574,643.19 and 225,420.18

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Solution

The fourth proportional to 416,406.79, 574,643.19 and 225,420.18 is: 311,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,406.79 : 574,643.19 = 225,420.18 : x
  2. Step 2: Convert to fraction form
    416,406.79/574,643.19 = 225,420.18/x
  3. Step 3: Cross multiply
    416,406.79x = 574,643.19 × 225,420.18
  4. Step 4: Simplify right side
    416,406.79x = 129,536,171,325.57
  5. Step 5: Solve for x
    x = 129,536,171,325.57/416,406.79
  6. Step 6: Final answer
    x = 311,080.83

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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.