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Finding the Fourth Proportional to 512,436.28, 768,643.80 and 170,904.32

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Solution

The fourth proportional to 512,436.28, 768,643.80 and 170,904.32 is: 256,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,436.28 : 768,643.80 = 170,904.32 : x
  2. Step 2: Convert to fraction form
    512,436.28/768,643.80 = 170,904.32/x
  3. Step 3: Cross multiply
    512,436.28x = 768,643.80 × 170,904.32
  4. Step 4: Simplify right side
    512,436.28x = 131,364,545,961.22
  5. Step 5: Solve for x
    x = 131,364,545,961.22/512,436.28
  6. Step 6: Final answer
    x = 256,352.94

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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.