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Finding the Fourth Proportional to 405,453.48, 559,509.30 and 224,153.88

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Solution

The fourth proportional to 405,453.48, 559,509.30 and 224,153.88 is: 309,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,453.48 : 559,509.30 = 224,153.88 : x
  2. Step 2: Convert to fraction form
    405,453.48/559,509.30 = 224,153.88/x
  3. Step 3: Cross multiply
    405,453.48x = 559,509.30 × 224,153.88
  4. Step 4: Simplify right side
    405,453.48x = 125,416,180,491.08
  5. Step 5: Solve for x
    x = 125,416,180,491.08/405,453.48
  6. Step 6: Final answer
    x = 309,323.23

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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.