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Finding the Fourth Proportional to 405,978.22, 560,232.73 and 224,673.20

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Solution

The fourth proportional to 405,978.22, 560,232.73 and 224,673.20 is: 310,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,978.22 : 560,232.73 = 224,673.20 : x
  2. Step 2: Convert to fraction form
    405,978.22/560,232.73 = 224,673.20/x
  3. Step 3: Cross multiply
    405,978.22x = 560,232.73 × 224,673.20
  4. Step 4: Simplify right side
    405,978.22x = 125,869,280,193.84
  5. Step 5: Solve for x
    x = 125,869,280,193.84/405,978.22
  6. Step 6: Final answer
    x = 310,039.49

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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.