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Finding the Fourth Proportional to 405,903.50, 560,138.44 and 224,615.30

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Solution

The fourth proportional to 405,903.50, 560,138.44 and 224,615.30 is: 309,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,903.50 : 560,138.44 = 224,615.30 : x
  2. Step 2: Convert to fraction form
    405,903.50/560,138.44 = 224,615.30/x
  3. Step 3: Cross multiply
    405,903.50x = 560,138.44 × 224,615.30
  4. Step 4: Simplify right side
    405,903.50x = 125,815,662,619.06
  5. Step 5: Solve for x
    x = 125,815,662,619.06/405,903.50
  6. Step 6: Final answer
    x = 309,964.47

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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.