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Finding the Fourth Proportional to 427,368.64, 589,716.96 and 236,356

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Solution

The fourth proportional to 427,368.64, 589,716.96 and 236,356 is: 326,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,368.64 : 589,716.96 = 236,356 : x
  2. Step 2: Convert to fraction form
    427,368.64/589,716.96 = 236,356/x
  3. Step 3: Cross multiply
    427,368.64x = 589,716.96 × 236,356
  4. Step 4: Simplify right side
    427,368.64x = 139,383,141,797.76
  5. Step 5: Solve for x
    x = 139,383,141,797.76/427,368.64
  6. Step 6: Final answer
    x = 326,142.65

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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.