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Finding the Fourth Proportional to 385,662.68, 578,272.53 and 205,526.33

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Solution

The fourth proportional to 385,662.68, 578,272.53 and 205,526.33 is: 308,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,662.68 : 578,272.53 = 205,526.33 : x
  2. Step 2: Convert to fraction form
    385,662.68/578,272.53 = 205,526.33/x
  3. Step 3: Cross multiply
    385,662.68x = 578,272.53 × 205,526.33
  4. Step 4: Simplify right side
    385,662.68x = 118,850,230,830.72
  5. Step 5: Solve for x
    x = 118,850,230,830.72/385,662.68
  6. Step 6: Final answer
    x = 308,171.46

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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.