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Finding the Fourth Proportional to 395,470.34, 545,782.67 and 223,419.88

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Solution

The fourth proportional to 395,470.34, 545,782.67 and 223,419.88 is: 308,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,470.34 : 545,782.67 = 223,419.88 : x
  2. Step 2: Convert to fraction form
    395,470.34/545,782.67 = 223,419.88/x
  3. Step 3: Cross multiply
    395,470.34x = 545,782.67 × 223,419.88
  4. Step 4: Simplify right side
    395,470.34x = 121,938,695,607.97
  5. Step 5: Solve for x
    x = 121,938,695,607.97/395,470.34
  6. Step 6: Final answer
    x = 308,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.