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Finding the Fourth Proportional to 385,505.40, 577,998.90 and 205,620.60

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Solution

The fourth proportional to 385,505.40, 577,998.90 and 205,620.60 is: 308,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,505.40 : 577,998.90 = 205,620.60 : x
  2. Step 2: Convert to fraction form
    385,505.40/577,998.90 = 205,620.60/x
  3. Step 3: Cross multiply
    385,505.40x = 577,998.90 × 205,620.60
  4. Step 4: Simplify right side
    385,505.40x = 118,848,480,617.34
  5. Step 5: Solve for x
    x = 118,848,480,617.34/385,505.40
  6. Step 6: Final answer
    x = 308,292.65

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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.