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Finding the Fourth Proportional to 385,174.88, 531,539.52 and 215,409.68

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Solution

The fourth proportional to 385,174.88, 531,539.52 and 215,409.68 is: 297,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,174.88 : 531,539.52 = 215,409.68 : x
  2. Step 2: Convert to fraction form
    385,174.88/531,539.52 = 215,409.68/x
  3. Step 3: Cross multiply
    385,174.88x = 531,539.52 × 215,409.68
  4. Step 4: Simplify right side
    385,174.88x = 114,498,757,910.55
  5. Step 5: Solve for x
    x = 114,498,757,910.55/385,174.88
  6. Step 6: Final answer
    x = 297,264.34

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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.