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Finding the Fourth Proportional to 427,970.32, 590,591.80 and 236,979.60

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Solution

The fourth proportional to 427,970.32, 590,591.80 and 236,979.60 is: 327,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,970.32 : 590,591.80 = 236,979.60 : x
  2. Step 2: Convert to fraction form
    427,970.32/590,591.80 = 236,979.60/x
  3. Step 3: Cross multiply
    427,970.32x = 590,591.80 × 236,979.60
  4. Step 4: Simplify right side
    427,970.32x = 139,958,208,527.28
  5. Step 5: Solve for x
    x = 139,958,208,527.28/427,970.32
  6. Step 6: Final answer
    x = 327,027.84

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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.