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Finding the Fourth Proportional to 525,209.56, 788,012.88 and 205,589.84

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Solution

The fourth proportional to 525,209.56, 788,012.88 and 205,589.84 is: 308,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,209.56 : 788,012.88 = 205,589.84 : x
  2. Step 2: Convert to fraction form
    525,209.56/788,012.88 = 205,589.84/x
  3. Step 3: Cross multiply
    525,209.56x = 788,012.88 × 205,589.84
  4. Step 4: Simplify right side
    525,209.56x = 162,007,441,917.14
  5. Step 5: Solve for x
    x = 162,007,441,917.14/525,209.56
  6. Step 6: Final answer
    x = 308,462.48

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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.