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Finding the Fourth Proportional to 405,530.88, 559,626.78 and 224,238.84

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Solution

The fourth proportional to 405,530.88, 559,626.78 and 224,238.84 is: 309,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,530.88 : 559,626.78 = 224,238.84 : x
  2. Step 2: Convert to fraction form
    405,530.88/559,626.78 = 224,238.84/x
  3. Step 3: Cross multiply
    405,530.88x = 559,626.78 × 224,238.84
  4. Step 4: Simplify right side
    405,530.88x = 125,490,059,980.14
  5. Step 5: Solve for x
    x = 125,490,059,980.14/405,530.88
  6. Step 6: Final answer
    x = 309,446.37

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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.