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Finding the Fourth Proportional to 525,666.14, 788,162.35 and 221,978.03

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Solution

The fourth proportional to 525,666.14, 788,162.35 and 221,978.03 is: 332,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,666.14 : 788,162.35 = 221,978.03 : x
  2. Step 2: Convert to fraction form
    525,666.14/788,162.35 = 221,978.03/x
  3. Step 3: Cross multiply
    525,666.14x = 788,162.35 × 221,978.03
  4. Step 4: Simplify right side
    525,666.14x = 174,954,723,910.33
  5. Step 5: Solve for x
    x = 174,954,723,910.33/525,666.14
  6. Step 6: Final answer
    x = 332,824.79

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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.