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Finding the Fourth Proportional to 284,212.80, 426,664.80 and 213,537.60

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Solution

The fourth proportional to 284,212.80, 426,664.80 and 213,537.60 is: 320,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,212.80 : 426,664.80 = 213,537.60 : x
  2. Step 2: Convert to fraction form
    284,212.80/426,664.80 = 213,537.60/x
  3. Step 3: Cross multiply
    284,212.80x = 426,664.80 × 213,537.60
  4. Step 4: Simplify right side
    284,212.80x = 91,108,977,396.48
  5. Step 5: Solve for x
    x = 91,108,977,396.48/284,212.80
  6. Step 6: Final answer
    x = 320,566.06

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1.5x scale

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.