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Finding the Fourth Proportional to 284,584, 427,014.72 and 190,905.28

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Solution

The fourth proportional to 284,584, 427,014.72 and 190,905.28 is: 286,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,584 : 427,014.72 = 190,905.28 : x
  2. Step 2: Convert to fraction form
    284,584/427,014.72 = 190,905.28/x
  3. Step 3: Cross multiply
    284,584x = 427,014.72 × 190,905.28
  4. Step 4: Simplify right side
    284,584x = 81,519,364,685.72
  5. Step 5: Solve for x
    x = 81,519,364,685.72/284,584
  6. Step 6: Final answer
    x = 286,450.98

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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.