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Finding the Fourth Proportional to 385,505.90, 577,999.65 and 205,621.10

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Solution

The fourth proportional to 385,505.90, 577,999.65 and 205,621.10 is: 308,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,505.90 : 577,999.65 = 205,621.10 : x
  2. Step 2: Convert to fraction form
    385,505.90/577,999.65 = 205,621.10/x
  3. Step 3: Cross multiply
    385,505.90x = 577,999.65 × 205,621.10
  4. Step 4: Simplify right side
    385,505.90x = 118,848,923,832.62
  5. Step 5: Solve for x
    x = 118,848,923,832.62/385,505.90
  6. Step 6: Final answer
    x = 308,293.40

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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.