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Finding the Fourth Proportional to 405,415.58, 559,469.85 and 224,132.12

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Solution

The fourth proportional to 405,415.58, 559,469.85 and 224,132.12 is: 309,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,415.58 : 559,469.85 = 224,132.12 : x
  2. Step 2: Convert to fraction form
    405,415.58/559,469.85 = 224,132.12/x
  3. Step 3: Cross multiply
    405,415.58x = 559,469.85 × 224,132.12
  4. Step 4: Simplify right side
    405,415.58x = 125,395,163,556.58
  5. Step 5: Solve for x
    x = 125,395,163,556.58/405,415.58
  6. Step 6: Final answer
    x = 309,300.31

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1.5x scale

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.