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Finding the Fourth Proportional to 419,173.32, 578,288.26 and 257,979.72

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Solution

The fourth proportional to 419,173.32, 578,288.26 and 257,979.72 is: 355,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,173.32 : 578,288.26 = 257,979.72 : x
  2. Step 2: Convert to fraction form
    419,173.32/578,288.26 = 257,979.72/x
  3. Step 3: Cross multiply
    419,173.32x = 578,288.26 × 257,979.72
  4. Step 4: Simplify right side
    419,173.32x = 149,186,643,394.09
  5. Step 5: Solve for x
    x = 149,186,643,394.09/419,173.32
  6. Step 6: Final answer
    x = 355,906.82

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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.