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Finding the Fourth Proportional to 385,406.90, 578,190.14 and 115,524.14

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Solution

The fourth proportional to 385,406.90, 578,190.14 and 115,524.14 is: 173,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,406.90 : 578,190.14 = 115,524.14 : x
  2. Step 2: Convert to fraction form
    385,406.90/578,190.14 = 115,524.14/x
  3. Step 3: Cross multiply
    385,406.90x = 578,190.14 × 115,524.14
  4. Step 4: Simplify right side
    385,406.90x = 66,794,918,679.98
  5. Step 5: Solve for x
    x = 66,794,918,679.98/385,406.90
  6. Step 6: Final answer
    x = 173,310.13

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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.