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Finding the Fourth Proportional to 405,353.10, 559,387.41 and 221,592.48

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Solution

The fourth proportional to 405,353.10, 559,387.41 and 221,592.48 is: 305,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,353.10 : 559,387.41 = 221,592.48 : x
  2. Step 2: Convert to fraction form
    405,353.10/559,387.41 = 221,592.48/x
  3. Step 3: Cross multiply
    405,353.10x = 559,387.41 × 221,592.48
  4. Step 4: Simplify right side
    405,353.10x = 123,956,043,462.68
  5. Step 5: Solve for x
    x = 123,956,043,462.68/405,353.10
  6. Step 6: Final answer
    x = 305,797.69

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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.