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Finding the Fourth Proportional to 385,400, 531,852 and 215,666.94

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Solution

The fourth proportional to 385,400, 531,852 and 215,666.94 is: 297,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,400 : 531,852 = 215,666.94 : x
  2. Step 2: Convert to fraction form
    385,400/531,852 = 215,666.94/x
  3. Step 3: Cross multiply
    385,400x = 531,852 × 215,666.94
  4. Step 4: Simplify right side
    385,400x = 114,702,893,372.88
  5. Step 5: Solve for x
    x = 114,702,893,372.88/385,400
  6. Step 6: Final answer
    x = 297,620.38

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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.