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Finding the Fourth Proportional to 427,322.88, 640,997.44 and 146,836.16

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Solution

The fourth proportional to 427,322.88, 640,997.44 and 146,836.16 is: 220,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,322.88 : 640,997.44 = 146,836.16 : x
  2. Step 2: Convert to fraction form
    427,322.88/640,997.44 = 146,836.16/x
  3. Step 3: Cross multiply
    427,322.88x = 640,997.44 × 146,836.16
  4. Step 4: Simplify right side
    427,322.88x = 94,121,602,659.43
  5. Step 5: Solve for x
    x = 94,121,602,659.43/427,322.88
  6. Step 6: Final answer
    x = 220,258.75

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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.