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Finding the Fourth Proportional to 284,808.98, 426,839.75 and 209,576.85

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Solution

The fourth proportional to 284,808.98, 426,839.75 and 209,576.85 is: 314,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,808.98 : 426,839.75 = 209,576.85 : x
  2. Step 2: Convert to fraction form
    284,808.98/426,839.75 = 209,576.85/x
  3. Step 3: Cross multiply
    284,808.98x = 426,839.75 × 209,576.85
  4. Step 4: Simplify right side
    284,808.98x = 89,455,729,211.90
  5. Step 5: Solve for x
    x = 89,455,729,211.90/284,808.98
  6. Step 6: Final answer
    x = 314,090.27

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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.