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Finding the Fourth Proportional to 284,866.80, 427,300.20 and 178,578.60

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Solution

The fourth proportional to 284,866.80, 427,300.20 and 178,578.60 is: 267,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,866.80 : 427,300.20 = 178,578.60 : x
  2. Step 2: Convert to fraction form
    284,866.80/427,300.20 = 178,578.60/x
  3. Step 3: Cross multiply
    284,866.80x = 427,300.20 × 178,578.60
  4. Step 4: Simplify right side
    284,866.80x = 76,306,671,495.72
  5. Step 5: Solve for x
    x = 76,306,671,495.72/284,866.80
  6. Step 6: Final answer
    x = 267,867.90

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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.