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Finding the Fourth Proportional to 405,876.80, 560,044.56 and 254,866.88

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Solution

The fourth proportional to 405,876.80, 560,044.56 and 254,866.88 is: 351,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,876.80 : 560,044.56 = 254,866.88 : x
  2. Step 2: Convert to fraction form
    405,876.80/560,044.56 = 254,866.88/x
  3. Step 3: Cross multiply
    405,876.80x = 560,044.56 × 254,866.88
  4. Step 4: Simplify right side
    405,876.80x = 142,736,809,668.17
  5. Step 5: Solve for x
    x = 142,736,809,668.17/405,876.80
  6. Step 6: Final answer
    x = 351,675.21

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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.