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Finding the Fourth Proportional to 405,842.30, 560,078.88 and 224,551.28

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Solution

The fourth proportional to 405,842.30, 560,078.88 and 224,551.28 is: 309,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.30 : 560,078.88 = 224,551.28 : x
  2. Step 2: Convert to fraction form
    405,842.30/560,078.88 = 224,551.28/x
  3. Step 3: Cross multiply
    405,842.30x = 560,078.88 × 224,551.28
  4. Step 4: Simplify right side
    405,842.30x = 125,766,429,404.97
  5. Step 5: Solve for x
    x = 125,766,429,404.97/405,842.30
  6. Step 6: Final answer
    x = 309,889.90

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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.