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Finding the Fourth Proportional to 385,405.90, 578,188.64 and 115,523.14

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Solution

The fourth proportional to 385,405.90, 578,188.64 and 115,523.14 is: 173,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,405.90 : 578,188.64 = 115,523.14 : x
  2. Step 2: Convert to fraction form
    385,405.90/578,188.64 = 115,523.14/x
  3. Step 3: Cross multiply
    385,405.90x = 578,188.64 × 115,523.14
  4. Step 4: Simplify right side
    385,405.90x = 66,794,166,627.51
  5. Step 5: Solve for x
    x = 66,794,166,627.51/385,405.90
  6. Step 6: Final answer
    x = 173,308.63

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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.